472718400 has 336 divisors, whose sum is σ = 1935114240. Its totient is φ = 98150400.

The previous prime is 472718369. The next prime is 472718413. The reversal of 472718400 is 4817274.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368961 + ... + 370239.

Almost surely, 2^472718400 is an apocalyptic number.

472718400 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 472718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967557120).

472718400 is an abundant number, since it is smaller than the sum of its proper divisors (1462395840).

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

472718400 is a wasteful number, since it uses less digits than its factorization.

472718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 472718400 is about 21742.0882161765. The cubic root of 472718400 is about 778.9941011010.

The spelling of 472718400 in words is "four hundred seventy-two million, seven hundred eighteen thousand, four hundred".