479801520 has 240 divisors, whose sum is σ = 1819303200. Its totient is φ = 112250880.

The previous prime is 479801513. The next prime is 479801561. The reversal of 479801520 is 25108974.

479801520 is a `hidden beast` number, since 47 + 98 + 0 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 228636 + ... + 230724.

It is an arithmetic number, because the mean of its divisors is an integer number (7580430).

Almost surely, 2^479801520 is an apocalyptic number.

479801520 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 479801520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909651600).

479801520 is an abundant number, since it is smaller than the sum of its proper divisors (1339501680).

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

479801520 is a wasteful number, since it uses less digits than its factorization.

479801520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 479801520 is about 21904.3721663051. The cubic root of 479801520 is about 782.8655935041.

The spelling of 479801520 in words is "four hundred seventy-nine million, eight hundred one thousand, five hundred twenty".