479836512 has 72 divisors (see below), whose sum is σ = 1369151784. Its totient is φ = 159404544.

The previous prime is 479836499. The next prime is 479836517. The reversal of 479836512 is 215638974.

479836512 is a `hidden beast` number, since 47 + 98 + 3 + 6 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×479836512² = 460486156496652288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479836517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87483 + ... + 92805.

It is an arithmetic number, because the mean of its divisors is an integer number (19015997).

Almost surely, 2^479836512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479836512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684575892).

479836512 is an abundant number, since it is smaller than the sum of its proper divisors (889315272).

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

479836512 is a wasteful number, since it uses less digits than its factorization.

479836512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5652 (or 5641 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 479836512 is about 21905.1708963888. The cubic root of 479836512 is about 782.8846245449.

The spelling of 479836512 in words is "four hundred seventy-nine million, eight hundred thirty-six thousand, five hundred twelve".