479360000 has 220 divisors, whose sum is σ = 1381282848. Its totient is φ = 162816000.

The previous prime is 479359967. The next prime is 479360023. The reversal of 479360000 is 63974.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4479947 + ... + 4480053.

Almost surely, 2^479360000 is an apocalyptic number.

479360000 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 479360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690641424).

479360000 is an abundant number, since it is smaller than the sum of its proper divisors (901922848).

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

479360000 is an equidigital number, since it uses as much as digits as its factorization.

479360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 479360000 is about 21894.2914934464. The cubic root of 479360000 is about 782.6253852229.

The spelling of 479360000 in words is "four hundred seventy-nine million, three hundred sixty thousand".