472972800 has 240 divisors, whose sum is σ = 1590724080. Its totient is φ = 123863040.

The previous prime is 472972771. The next prime is 472972817. The reversal of 472972800 is 8279274.

472972800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a zygodrome in base 2.

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, 4185544 + ... + 4185656.

It is an arithmetic number, because the mean of its divisors is an integer number (6628017).

Almost surely, 2^472972800 is an apocalyptic number.

472972800 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 472972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795362040).

472972800 is an abundant number, since it is smaller than the sum of its proper divisors (1117751280).

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

472972800 is a wasteful number, since it uses less digits than its factorization.

472972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 472972800 is about 21747.9378332751. The cubic root of 472972800 is about 779.1338182205.

The spelling of 472972800 in words is "four hundred seventy-two million, nine hundred seventy-two thousand, eight hundred".