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470607400 = 235210721991
BaseRepresentation
bin11100000011001…
…110011000101000
31012210112022222201
4130003032120220
51430433414100
6114410425544
714443045144
oct3403163050
91183468881
10470607400
1122171133a
121117322b4
1376663723
1446704224
152b4ae36a
hex1c0ce628

470607400 has 48 divisors (see below), whose sum is σ = 1104438240. Its totient is φ = 186475200.

The previous prime is 470607367. The next prime is 470607433. The reversal of 470607400 is 4706074.

It is an interprime number because it is at equal distance from previous prime (470607367) and next prime (470607433).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10405 + ... + 32395.

It is an arithmetic number, because the mean of its divisors is an integer number (23009130).

Almost surely, 2470607400 is an apocalyptic number.

470607400 is a gapful number since it is divisible by the number (40) 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 470607400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552219120).

470607400 is an abundant number, since it is smaller than the sum of its proper divisors (633830840).

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

470607400 is a wasteful number, since it uses less digits than its factorization.

470607400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22114 (or 22105 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 470607400 is about 21693.4875020131. The cubic root of 470607400 is about 777.8327962592.

470607400 divided by its reverse (4706074) gives a square (100 = 102).

The spelling of 470607400 in words is "four hundred seventy million, six hundred seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 856 1070 2140 2675 4280 5350 10700 21400 21991 43982 87964 109955 175928 219910 439820 549775 879640 1099550 2199100 2353037 4398200 4706074 9412148 11765185 18824296 23530370 47060740 58825925 94121480 117651850 235303700 470607400