479727456 has 72 divisors (see below), whose sum is σ = 1363650120. Its totient is φ = 147603456.

The previous prime is 479727439. The next prime is 479727461. The reversal of 479727456 is 654727974.

It is a junction number, because it is equal to n+sod(n) for n = 479727399 and 479727408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1440 + ... + 31008.

It is an arithmetic number, because the mean of its divisors is an integer number (18939585).

Almost surely, 2^479727456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479727456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681825060).

479727456 is an abundant number, since it is smaller than the sum of its proper divisors (883922664).

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

479727456 is a wasteful number, since it uses less digits than its factorization.

479727456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29608 (or 29587 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 51.

The square root of 479727456 is about 21902.6814796728. The cubic root of 479727456 is about 782.8253093876.

The spelling of 479727456 in words is "four hundred seventy-nine million, seven hundred twenty-seven thousand, four hundred fifty-six".