472867200 has 384 divisors, whose sum is σ = 1868109600. Its totient is φ = 116121600.

The previous prime is 472867139. The next prime is 472867229. The reversal of 472867200 is 2768274.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1122990 + ... + 1123410.

Almost surely, 2^472867200 is an apocalyptic number.

472867200 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 472867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934054800).

472867200 is an abundant number, since it is smaller than the sum of its proper divisors (1395242400).

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

472867200 is a wasteful number, since it uses less digits than its factorization.

472867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 472867200 is about 21745.5098813525. The cubic root of 472867200 is about 779.0758285185.

The spelling of 472867200 in words is "four hundred seventy-two million, eight hundred sixty-seven thousand, two hundred".