479301217920 has 512 divisors, whose sum is σ = 1957881024000. Its totient is φ = 108546490368.

The previous prime is 479301217919. The next prime is 479301217931. The reversal of 479301217920 is 29712103974.

479301217920 is a `hidden beast` number, since 47 + 9 + 301 + 217 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13166464 + ... + 13202816.

It is an arithmetic number, because the mean of its divisors is an integer number (3823986375).

Almost surely, 2^479301217920 is an apocalyptic number.

479301217920 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 479301217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978940512000).

479301217920 is an abundant number, since it is smaller than the sum of its proper divisors (1478579806080).

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

479301217920 is a wasteful number, since it uses less digits than its factorization.

479301217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36497 (or 36479 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 479301217920 in words is "four hundred seventy-nine billion, three hundred one million, two hundred seventeen thousand, nine hundred twenty".