472916880 has 360 divisors, whose sum is σ = 1779174072. Its totient is φ = 116453376.

The previous prime is 472916879. The next prime is 472916921. The reversal of 472916880 is 88619274.

It can be written as a sum of positive squares in 4 ways, for example, as 143712144 + 329204736 = 11988^2 + 18144^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8922934 + ... + 8922986.

Almost surely, 2^472916880 is an apocalyptic number.

472916880 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 472916880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889587036).

472916880 is an abundant number, since it is smaller than the sum of its proper divisors (1306257192).

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

472916880 is an equidigital number, since it uses as much as digits as its factorization.

472916880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 472916880 is about 21746.6521561366. The cubic root of 472916880 is about 779.1031111127.

It can be divided in two parts, 4729 and 16880, that added together give a square (21609 = 147²).

The spelling of 472916880 in words is "four hundred seventy-two million, nine hundred sixteen thousand, eight hundred eighty".