479646720 has 264 divisors, whose sum is σ = 1900664064. Its totient is φ = 109559808.

The previous prime is 479646701. The next prime is 479646737. The reversal of 479646720 is 27646974.

479646720 is digitally balanced in base 6, 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321817 + ... + 323303.

Almost surely, 2^479646720 is an apocalyptic number.

479646720 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 479646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950332032).

479646720 is an abundant number, since it is smaller than the sum of its proper divisors (1421017344).

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

479646720 is a wasteful number, since it uses less digits than its factorization.

479646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 479646720 is about 21900.8383401184. The cubic root of 479646720 is about 782.7813915829.

The spelling of 479646720 in words is "four hundred seventy-nine million, six hundred forty-six thousand, seven hundred twenty".