472180800 has 672 divisors, whose sum is σ = 2031869952. Its totient is φ = 93265920.

The previous prime is 472180739. The next prime is 472180801. The reversal of 472180800 is 8081274.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (472180801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10046377 + ... + 10046423.

It is an arithmetic number, because the mean of its divisors is an integer number (3023616).

Almost surely, 2^472180800 is an apocalyptic number.

472180800 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 472180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015934976).

472180800 is an abundant number, since it is smaller than the sum of its proper divisors (1559689152).

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

472180800 is a wasteful number, since it uses less digits than its factorization.

472180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 472180800 is about 21729.7215812812. The cubic root of 472180800 is about 778.6986848555.

The spelling of 472180800 in words is "four hundred seventy-two million, one hundred eighty thousand, eight hundred".