479846520 has 288 divisors, whose sum is σ = 1719478800. Its totient is φ = 115706880.

The previous prime is 479846519. The next prime is 479846527. The reversal of 479846520 is 25648974.

It is a happy number.

479846520 is a `hidden beast` number, since 47 + 9 + 84 + 6 + 520 = 666.

It is a super-2 number, since 2×479846520² = 460505365512220800, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (479846527) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6573204 + ... + 6573276.

Almost surely, 2^479846520 is an apocalyptic number.

479846520 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 479846520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859739400).

479846520 is an abundant number, since it is smaller than the sum of its proper divisors (1239632280).

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

479846520 is a wasteful number, since it uses less digits than its factorization.

479846520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 133 counting only the distinct ones).

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

The square root of 479846520 is about 21905.3993344107. The cubic root of 479846520 is about 782.8900674091.

The spelling of 479846520 in words is "four hundred seventy-nine million, eight hundred forty-six thousand, five hundred twenty".