480880928404 has 24 divisors (see below), whose sum is σ = 846273328488. Its totient is φ = 239089643520.

The previous prime is 480880928401. The next prime is 480880928441. The reversal of 480880928404 is 404829088084.

It can be written as a sum of positive squares in 4 ways, for example, as 80763956100 + 400116972304 = 284190^2 + 632548^2 .

It is a super-3 number, since 3×480880928404³ (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480880928401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1637694 + ... + 1908874.

It is an arithmetic number, because the mean of its divisors is an integer number (35261388687).

Almost surely, 2^480880928404 is an apocalyptic number.

It is an amenable number.

480880928404 is a deficient number, since it is larger than the sum of its proper divisors (365392400084).

480880928404 is a wasteful number, since it uses less digits than its factorization.

480880928404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273675 (or 273673 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 55.

The spelling of 480880928404 in words is "four hundred eighty billion, eight hundred eighty million, nine hundred twenty-eight thousand, four hundred four".