480719232 has 256 divisors, whose sum is σ = 1676390400. Its totient is φ = 132710400.

The previous prime is 480719191. The next prime is 480719233. The reversal of 480719232 is 232917084.

It is a super-3 number, since 3×480719232³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480719233) 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, 749632 + ... + 750272.

It is an arithmetic number, because the mean of its divisors is an integer number (6548400).

Almost surely, 2^480719232 is an apocalyptic number.

480719232 is a gapful number since it is divisible by the number (42) 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 480719232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838195200).

480719232 is an abundant number, since it is smaller than the sum of its proper divisors (1195671168).

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

480719232 is a wasteful number, since it uses less digits than its factorization.

480719232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 480719232 is about 21925.3103056718. The cubic root of 480719232 is about 783.3644022484.

The spelling of 480719232 in words is "four hundred eighty million, seven hundred nineteen thousand, two hundred thirty-two".