479879400 has 768 divisors, whose sum is σ = 2159861760. Its totient is φ = 84787200.

The previous prime is 479879399. The next prime is 479879401. The reversal of 479879400 is 4978974.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (479879399) and next prime (479879401).

It is a self number, because there is not a number n which added to its sum of digits gives 479879400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479879401) 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 191 ways as a sum of consecutive naturals, for example, 10210177 + ... + 10210223.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2^479879400 is an apocalyptic number.

479879400 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 479879400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079930880).

479879400 is an abundant number, since it is smaller than the sum of its proper divisors (1679982360).

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

479879400 is a wasteful number, since it uses less digits than its factorization.

479879400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 479879400 is about 21906.1498214542. The cubic root of 479879400 is about 782.9079487082.

The spelling of 479879400 in words is "four hundred seventy-nine million, eight hundred seventy-nine thousand, four hundred".