479731200 has 360 divisors, whose sum is σ = 1763496504. Its totient is φ = 114278400.

The previous prime is 479731193. The next prime is 479731207. The reversal of 479731200 is 2137974.

It is an interprime number because it is at equal distance from previous prime (479731193) and next prime (479731207).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479731207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15475185 + ... + 15475215.

Almost surely, 2^479731200 is an apocalyptic number.

479731200 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 479731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881748252).

479731200 is an abundant number, since it is smaller than the sum of its proper divisors (1283765304).

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

479731200 is a wasteful number, since it uses less digits than its factorization.

479731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 479731200 is about 21902.7669484931. The cubic root of 479731200 is about 782.8273458844.

The spelling of 479731200 in words is "four hundred seventy-nine million, seven hundred thirty-one thousand, two hundred".