480525084 has 144 divisors (see below), whose sum is σ = 1361243520. Its totient is φ = 141972480.

The previous prime is 480525061. The next prime is 480525103.

480525084 is a `hidden beast` number, since 480 + 52 + 50 + 84 = 666.

480525084 is nontrivially palindromic in base 10.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1515694 + ... + 1516010.

It is an arithmetic number, because the mean of its divisors is an integer number (9453080).

Almost surely, 2^480525084 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 480525084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680621760).

480525084 is an abundant number, since it is smaller than the sum of its proper divisors (880718436).

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

480525084 is a wasteful number, since it uses less digits than its factorization.

480525084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 480525084 is about 21920.8823727513. The cubic root of 480525084 is about 783.2589289624.

The spelling of 480525084 in words is "four hundred eighty million, five hundred twenty-five thousand, eighty-four".