478956202560 has 672 divisors, whose sum is σ = 1881563074560. Its totient is φ = 110692454400.

The previous prime is 478956202541. The next prime is 478956202589. The reversal of 478956202560 is 65202659874.

478956202560 is a `hidden beast` number, since 4 + 7 + 8 + 9 + 5 + 620 + 2 + 5 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 478956202497 and 478956202506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261580845 + ... + 261582675.

Almost surely, 2^478956202560 is an apocalyptic number.

478956202560 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 478956202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940781537280).

478956202560 is an abundant number, since it is smaller than the sum of its proper divisors (1402606872000).

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

478956202560 is a wasteful number, since it uses less digits than its factorization.

478956202560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 478956202560 in words is "four hundred seventy-eight billion, nine hundred fifty-six million, two hundred two thousand, five hundred sixty".