479217120 has 96 divisors (see below), whose sum is σ = 1513844640. Its totient is φ = 127426560.

The previous prime is 479217103. The next prime is 479217133. The reversal of 479217120 is 21712974.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195100 + ... + 197540.

It is an arithmetic number, because the mean of its divisors is an integer number (15769215).

Almost surely, 2^479217120 is an apocalyptic number.

479217120 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 479217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756922320).

479217120 is an abundant number, since it is smaller than the sum of its proper divisors (1034627520).

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

479217120 is a wasteful number, since it uses less digits than its factorization.

479217120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 479217120 is about 21891.0282992828. The cubic root of 479217120 is about 782.5476199895.

It can be divided in two parts, 4792 and 17120, that added together give a palindrome (21912).

The spelling of 479217120 in words is "four hundred seventy-nine million, two hundred seventeen thousand, one hundred twenty".