480115764 has 72 divisors (see below), whose sum is σ = 1279310760. Its totient is φ = 151587072.

The previous prime is 480115747. The next prime is 480115771. The reversal of 480115764 is 467511084.

It is a happy number.

480115764 is a `hidden beast` number, since 4 + 80 + 1 + 1 + 576 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71267364 + 408848400 = 8442^2 + 20220^2 .

It is a super-2 number, since 2×480115764² = 461022293682607392, which contains 22 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50994 + ... + 59670.

It is an arithmetic number, because the mean of its divisors is an integer number (17768205).

Almost surely, 2^480115764 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 480115764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639655380).

480115764 is an abundant number, since it is smaller than the sum of its proper divisors (799194996).

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

480115764 is a wasteful number, since it uses less digits than its factorization.

480115764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8769 (or 8764 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 480115764 is about 21911.5440806895. The cubic root of 480115764 is about 783.0364677211.

The spelling of 480115764 in words is "four hundred eighty million, one hundred fifteen thousand, seven hundred sixty-four".