479347355520 has 512 divisors, whose sum is σ = 1911790080000. Its totient is φ = 112455475200.

The previous prime is 479347355503. The next prime is 479347355587. The reversal of 479347355520 is 25553743974.

479347355520 is a `hidden beast` number, since 4 + 79 + 3 + 47 + 3 + 5 + 5 + 520 = 666.

479347355520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5851806 + ... + 5933154.

It is an arithmetic number, because the mean of its divisors is an integer number (3733965000).

Almost surely, 2^479347355520 is an apocalyptic number.

479347355520 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 479347355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955895040000).

479347355520 is an abundant number, since it is smaller than the sum of its proper divisors (1432442724480).

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

479347355520 is a wasteful number, since it uses less digits than its factorization.

479347355520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81419 (or 81401 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 479347355520 in words is "four hundred seventy-nine billion, three hundred forty-seven million, three hundred fifty-five thousand, five hundred twenty".