479105295552 has 840 divisors, whose sum is σ = 1627527575520. Its totient is φ = 138499891200.

The previous prime is 479105295541. The next prime is 479105295577. The reversal of 479105295552 is 255592501974.

479105295552 is a `hidden beast` number, since 4 + 7 + 9 + 10 + 529 + 55 + 52 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3172882677 + ... + 3172882827.

It is an arithmetic number, because the mean of its divisors is an integer number (1937532828).

Almost surely, 2^479105295552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479105295552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813763787760).

479105295552 is an abundant number, since it is smaller than the sum of its proper divisors (1148422279968).

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

479105295552 is a wasteful number, since it uses less digits than its factorization.

479105295552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 5670000, while the sum is 54.

The spelling of 479105295552 in words is "four hundred seventy-nine billion, one hundred five million, two hundred ninety-five thousand, five hundred fifty-two".