479291120 has 160 divisors (see below), whose sum is σ = 1437765120. Its totient is φ = 144184320.

The previous prime is 479291117. The next prime is 479291129. The reversal of 479291120 is 21192974.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479291129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177299 + ... + 179981.

It is an arithmetic number, because the mean of its divisors is an integer number (8986032).

Almost surely, 2^479291120 is an apocalyptic number.

479291120 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 479291120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718882560).

479291120 is an abundant number, since it is smaller than the sum of its proper divisors (958474000).

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

479291120 is a wasteful number, since it uses less digits than its factorization.

479291120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 479291120 is about 21892.7184241702. The cubic root of 479291120 is about 782.5878978656.

The spelling of 479291120 in words is "four hundred seventy-nine million, two hundred ninety-one thousand, one hundred twenty".