479263680 has 168 divisors, whose sum is σ = 1884041952. Its totient is φ = 109541376.

The previous prime is 479263679. The next prime is 479263693. The reversal of 479263680 is 86362974.

479263680 is a `hidden beast` number, since 4 + 7 + 9 + 2 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8274 + ... + 32046.

Almost surely, 2^479263680 is an apocalyptic number.

479263680 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 479263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942020976).

479263680 is an abundant number, since it is smaller than the sum of its proper divisors (1404778272).

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

479263680 is a wasteful number, since it uses less digits than its factorization.

479263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23803 (or 23790 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 479263680 is about 21892.0917228117. The cubic root of 479263680 is about 782.5729628774.

The spelling of 479263680 in words is "four hundred seventy-nine million, two hundred sixty-three thousand, six hundred eighty".