479174400 has 432 divisors, whose sum is σ = 1824883200. Its totient is φ = 122941440.

The previous prime is 479174389. The next prime is 479174411. The reversal of 479174400 is 4471974.

It is an interprime number because it is at equal distance from previous prime (479174389) and next prime (479174411).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8121571 + ... + 8121629.

Almost surely, 2^479174400 is an apocalyptic number.

479174400 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 479174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912441600).

479174400 is an abundant number, since it is smaller than the sum of its proper divisors (1345708800).

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

479174400 is a wasteful number, since it uses less digits than its factorization.

479174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 479174400 is about 21890.0525353413. The cubic root of 479174400 is about 782.5243657926.

It can be divided in two parts, 4 and 79174400, that added together give a square (79174404 = 8898²).

The spelling of 479174400 in words is "four hundred seventy-nine million, one hundred seventy-four thousand, four hundred".