472664192 has 384 divisors, whose sum is σ = 1406522880. Its totient is φ = 154828800.

The previous prime is 472664149. The next prime is 472664201. The reversal of 472664192 is 291466274.

It is a super-2 number, since 2×472664192² = 446822876798025728, which contains 22 as substring.

Its product of digits (145152) is a multiple of the sum of its prime divisors (81).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15247217 + ... + 15247247.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 2^472664192 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 472664192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703261440).

472664192 is an abundant number, since it is smaller than the sum of its proper divisors (933858688).

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

472664192 is a wasteful number, since it uses less digits than its factorization.

472664192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 472664192 is about 21740.8415660480. The cubic root of 472664192 is about 778.9643234529.

The spelling of 472664192 in words is "four hundred seventy-two million, six hundred sixty-four thousand, one hundred ninety-two".