472965120 has 168 divisors, whose sum is σ = 1640790216. Its totient is φ = 126025728.

The previous prime is 472965107. The next prime is 472965131. The reversal of 472965120 is 21569274.

472965120 is a `hidden beast` number, since 472 + 9 + 65 + 120 = 666.

It is a super-2 number, since 2×472965120² = 447392009473228800, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

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, 367999 + ... + 369281.

Almost surely, 2^472965120 is an apocalyptic number.

472965120 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 472965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820395108).

472965120 is an abundant number, since it is smaller than the sum of its proper divisors (1167825096).

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

472965120 is a wasteful number, since it uses less digits than its factorization.

472965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 472965120 is about 21747.7612640934. The cubic root of 472965120 is about 779.1296010787.

The spelling of 472965120 in words is "four hundred seventy-two million, nine hundred sixty-five thousand, one hundred twenty".