479648920 has 64 divisors (see below), whose sum is σ = 1139320800. Its totient is φ = 181232640.

The previous prime is 479648891. The next prime is 479648927. The reversal of 479648920 is 29846974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479648927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346630 + ... + 348010.

Almost surely, 2^479648920 is an apocalyptic number.

479648920 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 479648920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569660400).

479648920 is an abundant number, since it is smaller than the sum of its proper divisors (659671880).

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

479648920 is a wasteful number, since it uses less digits than its factorization.

479648920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 479648920 is about 21900.8885664486. Note that the first 3 decimals coincide. The cubic root of 479648920 is about 782.7825883780.

The spelling of 479648920 in words is "four hundred seventy-nine million, six hundred forty-eight thousand, nine hundred twenty".