479957514048 has 1120 divisors, whose sum is σ = 1668310364160. Its totient is φ = 135444234240.

The previous prime is 479957514041. The next prime is 479957514059. The reversal of 479957514048 is 840415759974.

479957514048 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 575 + 14 + 0 + 48 = 666.

It is a super-2 number, since 2×479957514048² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479957514041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3779192961 + ... + 3779193087.

Almost surely, 2^479957514048 is an apocalyptic number.

479957514048 is a gapful number since it is divisible by the number (48) 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 479957514048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834155182080).

479957514048 is an abundant number, since it is smaller than the sum of its proper divisors (1188352850112).

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

479957514048 is a wasteful number, since it uses less digits than its factorization.

479957514048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 479957514048 in words is "four hundred seventy-nine billion, nine hundred fifty-seven million, five hundred fourteen thousand, forty-eight".