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481404816 = 24331398017
BaseRepresentation
bin11100101100011…
…010011110010000
31020112211220021000
4130230122132100
51441214423231
6115434102000
714633605404
oct3454323620
91215756230
10481404816
11227816622
1211527a900
1378974229
1447d15104
152c3e36e6
hex1cb1a790

481404816 has 80 divisors (see below), whose sum is σ = 1391924800. Its totient is φ = 159293952.

The previous prime is 481404811. The next prime is 481404839. The reversal of 481404816 is 618404184.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (481404811) 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, 56040 + ... + 64056.

It is an arithmetic number, because the mean of its divisors is an integer number (17399060).

Almost surely, 2481404816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481404816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695962400).

481404816 is an abundant number, since it is smaller than the sum of its proper divisors (910519984).

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

481404816 is a wasteful number, since it uses less digits than its factorization.

481404816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8173 (or 8161 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 481404816 is about 21940.9392688645. The cubic root of 481404816 is about 783.7366271384.

The spelling of 481404816 in words is "four hundred eighty-one million, four hundred four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 139 144 216 278 417 432 556 834 1112 1251 1668 2224 2502 3336 3753 5004 6672 7506 8017 10008 15012 16034 20016 24051 30024 32068 48102 60048 64136 72153 96204 128272 144306 192408 216459 288612 384816 432918 577224 865836 1114363 1154448 1731672 2228726 3343089 3463344 4457452 6686178 8914904 10029267 13372356 17829808 20058534 26744712 30087801 40117068 53489424 60175602 80234136 120351204 160468272 240702408 481404816