472104960 has 240 divisors, whose sum is σ = 1613709216. Its totient is φ = 117440512.

The previous prime is 472104947. The next prime is 472104979. The reversal of 472104960 is 69401274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 4177864 + ... + 4177976.

Almost surely, 2^472104960 is an apocalyptic number.

472104960 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 472104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806854608).

472104960 is an abundant number, since it is smaller than the sum of its proper divisors (1141604256).

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

472104960 is a wasteful number, since it uses less digits than its factorization.

472104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 472104960 is about 21727.9764359224. The cubic root of 472104960 is about 778.6569920192.

The spelling of 472104960 in words is "four hundred seventy-two million, one hundred four thousand, nine hundred sixty".