479839680 has 448 divisors, whose sum is σ = 1853184000. Its totient is φ = 116453376.

The previous prime is 479839667. The next prime is 479839693. The reversal of 479839680 is 86938974.

479839680 is a `hidden beast` number, since 479 + 8 + 3 + 96 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (479839667) and next prime (479839693).

It is a super-2 number, since 2×479839680² = 460492237005004800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6073881 + ... + 6073959.

Almost surely, 2^479839680 is an apocalyptic number.

479839680 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 479839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926592000).

479839680 is an abundant number, since it is smaller than the sum of its proper divisors (1373344320).

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

479839680 is a wasteful number, since it uses less digits than its factorization.

479839680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 479839680 is about 21905.2432079628. The cubic root of 479839680 is about 782.8863474741.

The spelling of 479839680 in words is "four hundred seventy-nine million, eight hundred thirty-nine thousand, six hundred eighty".