479829504 has 160 divisors (see below), whose sum is σ = 1594112256. Its totient is φ = 124600320.

The previous prime is 479829481. The next prime is 479829547. The reversal of 479829504 is 405928974.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116244 + ... + 120300.

Almost surely, 2^479829504 is an apocalyptic number.

479829504 is a gapful number since it is divisible by the number (44) 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 479829504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797056128).

479829504 is an abundant number, since it is smaller than the sum of its proper divisors (1114282752).

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

479829504 is a wasteful number, since it uses less digits than its factorization.

479829504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 479829504 is about 21905.0109335741. The cubic root of 479829504 is about 782.8808131897.

The spelling of 479829504 in words is "four hundred seventy-nine million, eight hundred twenty-nine thousand, five hundred four".