480800404 has 24 divisors (see below), whose sum is σ = 968627520. Its totient is φ = 204551616.

The previous prime is 480800387. The next prime is 480800413. The reversal of 480800404 is 404008084.

It is a happy number.

It is a super-3 number, since 3×480800404³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58834 + ... + 66505.

It is an arithmetic number, because the mean of its divisors is an integer number (40359480).

Almost surely, 2^480800404 is an apocalyptic number.

It is an amenable number.

480800404 is an abundant number, since it is smaller than the sum of its proper divisors (487827116).

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

480800404 is a wasteful number, since it uses less digits than its factorization.

480800404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125487 (or 125485 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 480800404 is about 21927.1613301859. The cubic root of 480800404 is about 783.4084915160.

Adding to 480800404 its reverse (404008084), we get a palindrome (884808488).

The spelling of 480800404 in words is "four hundred eighty million, eight hundred thousand, four hundred four".