479005440 has 144 divisors (see below), whose sum is σ = 1550169600. Its totient is φ = 126038016.

The previous prime is 479005433. The next prime is 479005451. The reversal of 479005440 is 44500974.

It is a happy 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, 302571 + ... + 304149.

Almost surely, 2^479005440 is an apocalyptic number.

479005440 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 479005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775084800).

479005440 is an abundant number, since it is smaller than the sum of its proper divisors (1071164160).

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

479005440 is a wasteful number, since it uses less digits than its factorization.

479005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 479005440 is about 21886.1929078586. The cubic root of 479005440 is about 782.4323805920.

The spelling of 479005440 in words is "four hundred seventy-nine million, five thousand, four hundred forty".