486479520 has 120 divisors (see below), whose sum is σ = 1716913044. Its totient is φ = 129724416.

The previous prime is 486479507. The next prime is 486479549. The reversal of 486479520 is 25974684.

It is a happy number.

486479520 is a `hidden beast` number, since 4 + 86 + 47 + 9 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 480661776 + 5817744 = 21924^2 + 2412^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5809 + ... + 31728.

Almost surely, 2^486479520 is an apocalyptic number.

486479520 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 486479520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858456522).

486479520 is an abundant number, since it is smaller than the sum of its proper divisors (1230433524).

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

486479520 is a wasteful number, since it uses less digits than its factorization.

486479520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37564 (or 37547 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 486479520 is about 22056.2807381480. The cubic root of 486479520 is about 786.4809130828.

The spelling of 486479520 in words is "four hundred eighty-six million, four hundred seventy-nine thousand, five hundred twenty".