472904600 has 96 divisors (see below), whose sum is σ = 1283489280. Its totient is φ = 158666880.

The previous prime is 472904599. The next prime is 472904609. The reversal of 472904600 is 6409274.

It is a super-3 number, since 3×472904600³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472904609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62207 + ... + 69393.

It is an arithmetic number, because the mean of its divisors is an integer number (13369680).

Almost surely, 2^472904600 is an apocalyptic number.

472904600 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 472904600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641744640).

472904600 is an abundant number, since it is smaller than the sum of its proper divisors (810584680).

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

472904600 is a wasteful number, since it uses less digits than its factorization.

472904600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7257 (or 7248 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 472904600 is about 21746.3698119939. The cubic root of 472904600 is about 779.0963675252.

The spelling of 472904600 in words is "four hundred seventy-two million, nine hundred four thousand, six hundred".