479056273920 has 640 divisors, whose sum is σ = 1951000128000. Its totient is φ = 109146341376.

The previous prime is 479056273909. The next prime is 479056273933. The reversal of 479056273920 is 29372650974.

479056273920 is a `hidden beast` number, since 4 + 7 + 9 + 0 + 5 + 627 + 3 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×479056273920² (a number of 24 digits) contains 22 as substring.

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

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, 168858742 + ... + 168861578.

It is an arithmetic number, because the mean of its divisors is an integer number (3048437700).

Almost surely, 2^479056273920 is an apocalyptic number.

479056273920 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 479056273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975500064000).

479056273920 is an abundant number, since it is smaller than the sum of its proper divisors (1471943854080).

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

479056273920 is a wasteful number, since it uses less digits than its factorization.

479056273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 479056273920 in words is "four hundred seventy-nine billion, fifty-six million, two hundred seventy-three thousand, nine hundred twenty".