472910592 has 216 divisors, whose sum is σ = 1583266048. Its totient is φ = 122664960.

The previous prime is 472910591. The next prime is 472910593. The reversal of 472910592 is 295019274.

It is an interprime number because it is at equal distance from previous prime (472910591) and next prime (472910593).

It is a self number, because there is not a number n which added to its sum of digits gives 472910592.

It is not an unprimeable number, because it can be changed into a prime (472910591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650133 + ... + 650859.

Almost surely, 2^472910592 is an apocalyptic number.

472910592 is a gapful number since it is divisible by the number (42) 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 472910592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791633024).

472910592 is an abundant number, since it is smaller than the sum of its proper divisors (1110355456).

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

472910592 is a wasteful number, since it uses less digits than its factorization.

472910592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 472910592 is about 21746.5075816785. The cubic root of 472910592 is about 779.0996580590.

The spelling of 472910592 in words is "four hundred seventy-two million, nine hundred ten thousand, five hundred ninety-two".