472416960 has 224 divisors, whose sum is σ = 1580083200. Its totient is φ = 119418880.

The previous prime is 472416949. The next prime is 472416991. The reversal of 472416960 is 69614274.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1976521 + ... + 1976759.

Almost surely, 2^472416960 is an apocalyptic number.

472416960 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 472416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790041600).

472416960 is an abundant number, since it is smaller than the sum of its proper divisors (1107666240).

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

472416960 is a wasteful number, since it uses less digits than its factorization.

472416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 472416960 is about 21735.1549338853. The cubic root of 472416960 is about 778.8284845928.

The spelling of 472416960 in words is "four hundred seventy-two million, four hundred sixteen thousand, nine hundred sixty".