479847760 has 160 divisors (see below), whose sum is σ = 1332486144. Its totient is φ = 157248000.

The previous prime is 479847727. The next prime is 479847779. The reversal of 479847760 is 67748974.

It is a junction number, because it is equal to n+sod(n) for n = 479847698 and 479847707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2274055 + ... + 2274265.

Almost surely, 2^479847760 is an apocalyptic number.

479847760 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 479847760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666243072).

479847760 is an abundant number, since it is smaller than the sum of its proper divisors (852638384).

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

479847760 is a wasteful number, since it uses less digits than its factorization.

479847760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 52.

The square root of 479847760 is about 21905.4276379166. The cubic root of 479847760 is about 782.8907417794.

The spelling of 479847760 in words is "four hundred seventy-nine million, eight hundred forty-seven thousand, seven hundred sixty".