472382400 has 336 divisors, whose sum is σ = 1877665536. Its totient is φ = 101498880.

The previous prime is 472382377. The next prime is 472382429. The reversal of 472382400 is 4283274.

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 (30).

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, 570787 + ... + 571613.

Almost surely, 2^472382400 is an apocalyptic number.

472382400 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 472382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938832768).

472382400 is an abundant number, since it is smaller than the sum of its proper divisors (1405283136).

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

472382400 is a wasteful number, since it uses less digits than its factorization.

472382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 472382400 is about 21734.3598939559. The cubic root of 472382400 is about 778.8094922117.

The spelling of 472382400 in words is "four hundred seventy-two million, three hundred eighty-two thousand, four hundred".