480400404 has 24 divisors (see below), whose sum is σ = 1222837728. Its totient is φ = 145575840.

The previous prime is 480400381. The next prime is 480400409. The reversal of 480400404 is 404004084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480400409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1819567 + ... + 1819830.

It is an arithmetic number, because the mean of its divisors is an integer number (50951572).

Almost surely, 2^480400404 is an apocalyptic number.

480400404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

480400404 is an abundant number, since it is smaller than the sum of its proper divisors (742437324).

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

480400404 is a wasteful number, since it uses less digits than its factorization.

480400404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639415 (or 3639413 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 480400404 is about 21918.0383246312. The cubic root of 480400404 is about 783.1911800394.

Adding to 480400404 its reverse (404004084), we get a palindrome (884404488).

It can be divided in two parts, 4 and 80400404, that added together give a palindrome (80400408).

The spelling of 480400404 in words is "four hundred eighty million, four hundred thousand, four hundred four".