472891608 has 384 divisors, whose sum is σ = 1677312000. Its totient is φ = 121772160.

The previous prime is 472891607. The next prime is 472891609. The reversal of 472891608 is 806198274.

It is an interprime number because it is at equal distance from previous prime (472891607) and next prime (472891609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472891607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8015083 + ... + 8015141.

It is an arithmetic number, because the mean of its divisors is an integer number (4368000).

Almost surely, 2^472891608 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 472891608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838656000).

472891608 is an abundant number, since it is smaller than the sum of its proper divisors (1204420392).

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

472891608 is a wasteful number, since it uses less digits than its factorization.

472891608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 472891608 is about 21746.0710934182. The cubic root of 472891608 is about 779.0892328144.

The spelling of 472891608 in words is "four hundred seventy-two million, eight hundred ninety-one thousand, six hundred eight".