479948460 has 96 divisors (see below), whose sum is σ = 1414107072. Its totient is φ = 121466880.

The previous prime is 479948453. The next prime is 479948467. The reversal of 479948460 is 64849974.

It is an interprime number because it is at equal distance from previous prime (479948453) and next prime (479948467).

It is not an unprimeable number, because it can be changed into a prime (479948467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88384 + ... + 93656.

It is an arithmetic number, because the mean of its divisors is an integer number (14730282).

Almost surely, 2^479948460 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 479948460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707053536).

479948460 is an abundant number, since it is smaller than the sum of its proper divisors (934158612).

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

479948460 is a wasteful number, since it uses less digits than its factorization.

479948460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5363 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 479948460 is about 21907.7260344382. The cubic root of 479948460 is about 782.9455033032.

The spelling of 479948460 in words is "four hundred seventy-nine million, nine hundred forty-eight thousand, four hundred sixty".