472537200 has 120 divisors (see below), whose sum is σ = 1519148800. Its totient is φ = 125556480.

The previous prime is 472537189. The next prime is 472537229. The reversal of 472537200 is 2735274.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454281 + ... + 455319.

Almost surely, 2^472537200 is an apocalyptic number.

472537200 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 472537200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759574400).

472537200 is an abundant number, since it is smaller than the sum of its proper divisors (1046611600).

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

472537200 is a wasteful number, since it uses less digits than its factorization.

472537200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 472537200 is about 21737.9207837364. The cubic root of 472537200 is about 778.8945550355.

The spelling of 472537200 in words is "four hundred seventy-two million, five hundred thirty-seven thousand, two hundred".