479846976 has 336 divisors, whose sum is σ = 1635093504. Its totient is φ = 121347072.

The previous prime is 479846951. The next prime is 479846977. The reversal of 479846976 is 679648974.

It is a tau number, because it is divible by the number of its divisors (336).

Its product of digits (18289152) is a multiple of the sum of its prime factors (126).

It is not an unprimeable number, because it can be changed into a prime (479846977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11159211 + ... + 11159253.

Almost surely, 2^479846976 is an apocalyptic number.

479846976 is a gapful number since it is divisible by the number (46) 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 479846976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817546752).

479846976 is an abundant number, since it is smaller than the sum of its proper divisors (1155246528).

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

479846976 is a wasteful number, since it uses less digits than its factorization.

479846976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 60.

The square root of 479846976 is about 21905.4097428010. The cubic root of 479846976 is about 782.8903154035.

The spelling of 479846976 in words is "four hundred seventy-nine million, eight hundred forty-six thousand, nine hundred seventy-six".