472131760 has 80 divisors (see below), whose sum is σ = 1159925760. Its totient is φ = 178225920.

The previous prime is 472131719. The next prime is 472131799. The reversal of 472131760 is 67131274.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581755 + ... + 582565.

It is an arithmetic number, because the mean of its divisors is an integer number (14499072).

Almost surely, 2^472131760 is an apocalyptic number.

472131760 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 472131760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579962880).

472131760 is an abundant number, since it is smaller than the sum of its proper divisors (687794000).

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

472131760 is a wasteful number, since it uses less digits than its factorization.

472131760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 472131760 is about 21728.5931435977. The cubic root of 472131760 is about 778.6717257574.

It can be divided in two parts, 4721 and 31760, that added together give a square (36481 = 191²).

The spelling of 472131760 in words is "four hundred seventy-two million, one hundred thirty-one thousand, seven hundred sixty".