479390400 has 336 divisors, whose sum is σ = 1782043680. Its totient is φ = 126904320.

The previous prime is 479390383. The next prime is 479390411. The reversal of 479390400 is 4093974.

It is a super-2 number, since 2×479390400² = 459630311224320000, which contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3499132 + ... + 3499268.

Almost surely, 2^479390400 is an apocalyptic number.

479390400 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 479390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891021840).

479390400 is an abundant number, since it is smaller than the sum of its proper divisors (1302653280).

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

479390400 is an equidigital number, since it uses as much as digits as its factorization.

479390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 479390400 is about 21894.9857273304. The cubic root of 479390400 is about 782.6419290235.

The spelling of 479390400 in words is "four hundred seventy-nine million, three hundred ninety thousand, four hundred".