472487304960 has 1296 divisors, whose sum is σ = 1929775131648. Its totient is φ = 106274488320.

The previous prime is 472487304941. The next prime is 472487304979. The reversal of 472487304960 is 69403784274.

472487304960 is a `hidden beast` number, since 4 + 7 + 248 + 7 + 304 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (472487304941) and next prime (472487304979).

It is a junction number, because it is equal to n+sod(n) for n = 472487304897 and 472487304906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3009473202 + ... + 3009473358.

Almost surely, 2^472487304960 is an apocalyptic number.

472487304960 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 472487304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964887565824).

472487304960 is an abundant number, since it is smaller than the sum of its proper divisors (1457287826688).

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

472487304960 is a wasteful number, since it uses less digits than its factorization.

472487304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 472487304960 in words is "four hundred seventy-two billion, four hundred eighty-seven million, three hundred four thousand, nine hundred sixty".