479734164 has 240 divisors, whose sum is σ = 1577778048. Its totient is φ = 123731712.

The previous prime is 479734091. The next prime is 479734201. The reversal of 479734164 is 461437974.

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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1562499 + ... + 1562805.

Almost surely, 2^479734164 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 479734164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788889024).

479734164 is an abundant number, since it is smaller than the sum of its proper divisors (1098043884).

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

479734164 is a wasteful number, since it uses less digits than its factorization.

479734164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 385 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 479734164 is about 21902.8346110726. The cubic root of 479734164 is about 782.8289581035.

The spelling of 479734164 in words is "four hundred seventy-nine million, seven hundred thirty-four thousand, one hundred sixty-four".