472780800 has 468 divisors, whose sum is σ = 1848544880. Its totient is φ = 119439360.

The previous prime is 472780771. The next prime is 472780807. The reversal of 472780800 is 8087274.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (472780807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24883191 + ... + 24883209.

Almost surely, 2^472780800 is an apocalyptic number.

472780800 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 472780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924272440).

472780800 is an abundant number, since it is smaller than the sum of its proper divisors (1375764080).

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

472780800 is an equidigital number, since it uses as much as digits as its factorization.

472780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 472780800 is about 21743.5231735798. The cubic root of 472780800 is about 779.0283759767.

The spelling of 472780800 in words is "four hundred seventy-two million, seven hundred eighty thousand, eight hundred".