472737600 has 336 divisors, whose sum is σ = 1783933440. Its totient is φ = 121651200.

The previous prime is 472737599. The next prime is 472737611. The reversal of 472737600 is 6737274.

472737600 is a `hidden beast` number, since 47 + 2 + 7 + 3 + 7 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1339024 + ... + 1339376.

Almost surely, 2^472737600 is an apocalyptic number.

472737600 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 472737600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891966720).

472737600 is an abundant number, since it is smaller than the sum of its proper divisors (1311195840).

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

472737600 is a wasteful number, since it uses less digits than its factorization.

472737600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 472737600 is about 21742.5297516181. The cubic root of 472737600 is about 779.0046475378.

The spelling of 472737600 in words is "four hundred seventy-two million, seven hundred thirty-seven thousand, six hundred".