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478366064 = 241167113359
BaseRepresentation
bin11100100000110…
…100100101110000
31020100010111212122
4130200310211300
51434430203224
6115245013412
714566021151
oct3440644560
91210114778
10478366064
11226030560
12114254268
137814c057
1447763928
152bee315e
hex1c834970

478366064 has 80 divisors (see below), whose sum is σ = 1038147840. Its totient is φ = 211706880.

The previous prime is 478366061. The next prime is 478366069. The reversal of 478366064 is 460663874.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478366061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1332317 + ... + 1332675.

It is an arithmetic number, because the mean of its divisors is an integer number (12976848).

Almost surely, 2478366064 is an apocalyptic number.

478366064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478366064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519073920).

478366064 is an abundant number, since it is smaller than the sum of its proper divisors (559781776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

478366064 is a wasteful number, since it uses less digits than its factorization.

478366064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The square root of 478366064 is about 21871.5811956978. The cubic root of 478366064 is about 782.0840955865.

The spelling of 478366064 in words is "four hundred seventy-eight million, three hundred sixty-six thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 67 88 113 134 176 226 268 359 452 536 718 737 904 1072 1243 1436 1474 1808 2486 2872 2948 3949 4972 5744 5896 7571 7898 9944 11792 15142 15796 19888 24053 30284 31592 40567 48106 60568 63184 81134 83281 96212 121136 162268 166562 192424 264583 324536 333124 384848 446237 529166 649072 666248 892474 1058332 1332496 1784948 2116664 2717989 3569896 4233328 5435978 7139792 10871956 21743912 29897879 43487824 59795758 119591516 239183032 478366064