472431960 has 1024 divisors, whose sum is σ = 2322432000. Its totient is φ = 82114560.

The previous prime is 472431959. The next prime is 472431977. The reversal of 472431960 is 69134274.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20540509 + ... + 20540531.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2^472431960 is an apocalyptic number.

472431960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 21735×21736.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472431960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161216000).

472431960 is an abundant number, since it is smaller than the sum of its proper divisors (1850000040).

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

472431960 is a wasteful number, since it uses less digits than its factorization.

472431960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 472431960 is about 21735.4999942490. The cubic root of 472431960 is about 778.8367275255.

The spelling of 472431960 in words is "four hundred seventy-two million, four hundred thirty-one thousand, nine hundred sixty".