479445120 has 768 divisors, whose sum is σ = 2199674880. Its totient is φ = 93265920.

The previous prime is 479445091. The next prime is 479445157. The reversal of 479445120 is 21544974.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 10200937 + ... + 10200983.

It is an arithmetic number, because the mean of its divisors is an integer number (2864160).

Almost surely, 2^479445120 is an apocalyptic number.

479445120 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 479445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099837440).

479445120 is an abundant number, since it is smaller than the sum of its proper divisors (1720229760).

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

479445120 is a wasteful number, since it uses less digits than its factorization.

479445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 479445120 is about 21896.2352928534. The cubic root of 479445120 is about 782.6717061022.

The spelling of 479445120 in words is "four hundred seventy-nine million, four hundred forty-five thousand, one hundred twenty".