479453600 has 72 divisors (see below), whose sum is σ = 1232108640. Its totient is φ = 181681920.

The previous prime is 479453587. The next prime is 479453603. The reversal of 479453600 is 6354974.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479453603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 572 + ... + 30971.

It is an arithmetic number, because the mean of its divisors is an integer number (17112620).

Almost surely, 2^479453600 is an apocalyptic number.

479453600 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 479453600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616054320).

479453600 is an abundant number, since it is smaller than the sum of its proper divisors (752655040).

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

479453600 is a wasteful number, since it uses less digits than its factorization.

479453600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31582 (or 31569 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 479453600 is about 21896.4289325908. The cubic root of 479453600 is about 782.6763204760.

The spelling of 479453600 in words is "four hundred seventy-nine million, four hundred fifty-three thousand, six hundred".