479535160 has 64 divisors (see below), whose sum is σ = 1167314400. Its totient is φ = 176242176.

The previous prime is 479535157. The next prime is 479535163. The reversal of 479535160 is 61535974.

It is an interprime number because it is at equal distance from previous prime (479535157) and next prime (479535163).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479535163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117067 + ... + 121093.

Almost surely, 2^479535160 is an apocalyptic number.

479535160 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 479535160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583657200).

479535160 is an abundant number, since it is smaller than the sum of its proper divisors (687779240).

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

479535160 is a wasteful number, since it uses less digits than its factorization.

479535160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 479535160 is about 21898.2912575388. The cubic root of 479535160 is about 782.7206983966.

The spelling of 479535160 in words is "four hundred seventy-nine million, five hundred thirty-five thousand, one hundred sixty".