480069504 has 160 divisors (see below), whose sum is σ = 1504489800. Its totient is φ = 151538688.

The previous prime is 480069493. The next prime is 480069529. The reversal of 480069504 is 405960084.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 195774 + ... + 198210.

Almost surely, 2^480069504 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 480069504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752244900).

480069504 is an abundant number, since it is smaller than the sum of its proper divisors (1024420296).

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

480069504 is a wasteful number, since it uses less digits than its factorization.

480069504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 480069504 is about 21910.4884473167. The cubic root of 480069504 is about 783.0113179321.

The spelling of 480069504 in words is "four hundred eighty million, sixty-nine thousand, five hundred four".