473088600 has 480 divisors, whose sum is σ = 1822986000. Its totient is φ = 113218560.

The previous prime is 473088599. The next prime is 473088601. The reversal of 473088600 is 6880374.

473088600 is a `hidden beast` number, since 47 + 3 + 0 + 8 + 8 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (473088599) and next prime (473088601).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473088601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8926174 + ... + 8926226.

Almost surely, 2^473088600 is an apocalyptic number.

473088600 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 473088600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911493000).

473088600 is an abundant number, since it is smaller than the sum of its proper divisors (1349897400).

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

473088600 is a wasteful number, since it uses less digits than its factorization.

473088600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 473088600 is about 21750.5999917244. The cubic root of 473088600 is about 779.1973992790.

The spelling of 473088600 in words is "four hundred seventy-three million, eighty-eight thousand, six hundred".