479130624 has 198 divisors, whose sum is σ = 1610870274. Its totient is φ = 136765440.

The previous prime is 479130623. The next prime is 479130629. The reversal of 479130624 is 426031974.

It can be written as a sum of positive squares in only one way, i.e., 433972224 + 45158400 = 20832^2 + 6720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479130623) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451054 + ... + 452114.

Almost surely, 2^479130624 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 479130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805435137).

479130624 is an abundant number, since it is smaller than the sum of its proper divisors (1131739650).

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

479130624 is a wasteful number, since it uses less digits than its factorization.

479130624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 479130624 is about 21889.0526062687. The cubic root of 479130624 is about 782.5005353390.

The spelling of 479130624 in words is "four hundred seventy-nine million, one hundred thirty thousand, six hundred twenty-four".