472885800 has 192 divisors, whose sum is σ = 1537401600. Its totient is φ = 120115200.

The previous prime is 472885793. The next prime is 472885807. The reversal of 472885800 is 8588274.

It is an interprime number because it is at equal distance from previous prime (472885793) and next prime (472885807).

It is not an unprimeable number, because it can be changed into a prime (472885807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1155996 + ... + 1156404.

It is an arithmetic number, because the mean of its divisors is an integer number (8007300).

Almost surely, 2^472885800 is an apocalyptic number.

472885800 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 472885800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768700800).

472885800 is an abundant number, since it is smaller than the sum of its proper divisors (1064515800).

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

472885800 is a wasteful number, since it uses less digits than its factorization.

472885800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 472885800 is about 21745.9375516440. The cubic root of 472885800 is about 779.0860432401.

The spelling of 472885800 in words is "four hundred seventy-two million, eight hundred eighty-five thousand, eight hundred".