480465524 has 96 divisors (see below), whose sum is σ = 1079930880. Its totient is φ = 181641600.

The previous prime is 480465499. The next prime is 480465529. The reversal of 480465524 is 425564084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480465529) 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, 2010197 + ... + 2010435.

It is an arithmetic number, because the mean of its divisors is an integer number (11249280).

Almost surely, 2^480465524 is an apocalyptic number.

480465524 is a gapful number since it is divisible by the number (44) 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 480465524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539965440).

480465524 is an abundant number, since it is smaller than the sum of its proper divisors (599465356).

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

480465524 is a wasteful number, since it uses less digits than its factorization.

480465524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

The square root of 480465524 is about 21919.5238086962. The cubic root of 480465524 is about 783.2265665662.

The spelling of 480465524 in words is "four hundred eighty million, four hundred sixty-five thousand, five hundred twenty-four".