404788480 has 36 divisors (see below), whose sum is σ = 969597972. Its totient is φ = 161914880.

The previous prime is 404788471. The next prime is 404788493. The reversal of 404788480 is 84887404.

It can be written as a sum of positive squares in 2 ways, for example, as 135303424 + 269485056 = 11632^2 + 16416^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156841 + ... + 159400.

It is an arithmetic number, because the mean of its divisors is an integer number (26933277).

Almost surely, 2^404788480 is an apocalyptic number.

404788480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404788480 is an abundant number, since it is smaller than the sum of its proper divisors (564809492).

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

404788480 is an equidigital number, since it uses as much as digits as its factorization.

404788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316262 (or 316248 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 43.

The square root of 404788480 is about 20119.3558544999. The cubic root of 404788480 is about 739.7347966154.

The spelling of 404788480 in words is "four hundred four million, seven hundred eighty-eight thousand, four hundred eighty".