480135624 has 128 divisors (see below), whose sum is σ = 1348617600. Its totient is φ = 141557760.

The previous prime is 480135611. The next prime is 480135631. The reversal of 480135624 is 426531084.

It is a super-4 number, since 4×480135624⁴ (a number of 36 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1868104 + ... + 1868360.

It is an arithmetic number, because the mean of its divisors is an integer number (10536075).

Almost surely, 2^480135624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480135624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674308800).

480135624 is an abundant number, since it is smaller than the sum of its proper divisors (868481976).

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

480135624 is a wasteful number, since it uses less digits than its factorization.

480135624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 480135624 is about 21911.9972617742. The cubic root of 480135624 is about 783.0472643463.

The spelling of 480135624 in words is "four hundred eighty million, one hundred thirty-five thousand, six hundred twenty-four".