479759040 has 336 divisors, whose sum is σ = 1797344640. Its totient is φ = 116981760.

The previous prime is 479759011. The next prime is 479759051. The reversal of 479759040 is 40957974.

479759040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2007241 + ... + 2007479.

It is an arithmetic number, because the mean of its divisors is an integer number (5349240).

Almost surely, 2^479759040 is an apocalyptic number.

479759040 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 479759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898672320).

479759040 is an abundant number, since it is smaller than the sum of its proper divisors (1317585600).

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

479759040 is a wasteful number, since it uses less digits than its factorization.

479759040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 479759040 is about 21903.4024754146. The cubic root of 479759040 is about 782.8424887337.

The spelling of 479759040 in words is "four hundred seventy-nine million, seven hundred fifty-nine thousand, forty".