479016960 has 192 divisors, whose sum is σ = 1585059840. Its totient is φ = 123371520.

The previous prime is 479016953. The next prime is 479016977. The reversal of 479016960 is 69610974.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952069 + ... + 952571.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2^479016960 is an apocalyptic number.

479016960 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 479016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

479016960 is an abundant number, since it is smaller than the sum of its proper divisors (1106042880).

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

479016960 is a wasteful number, since it uses less digits than its factorization.

479016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 479016960 is about 21886.4560858993. The cubic root of 479016960 is about 782.4386529973.

The spelling of 479016960 in words is "four hundred seventy-nine million, sixteen thousand, nine hundred sixty".