479758320 has 120 divisors (see below), whose sum is σ = 1615301376. Its totient is φ = 127609344.

The previous prime is 479758319. The next prime is 479758333. The reversal of 479758320 is 23857974.

479758320 is a `hidden beast` number, since 47 + 9 + 7 + 583 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 440817 + ... + 441903.

Almost surely, 2^479758320 is an apocalyptic number.

479758320 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 479758320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807650688).

479758320 is an abundant number, since it is smaller than the sum of its proper divisors (1135543056).

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

479758320 is a wasteful number, since it uses less digits than its factorization.

479758320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 479758320 is about 21903.3860396058. The cubic root of 479758320 is about 782.8420971156.

The spelling of 479758320 in words is "four hundred seventy-nine million, seven hundred fifty-eight thousand, three hundred twenty".