404004048 has 80 divisors (see below), whose sum is σ = 1262954880. Its totient is φ = 108638208.

The previous prime is 404004047. The next prime is 404004053. The reversal of 404004048 is 840400404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404004043) 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 15 ways as a sum of consecutive naturals, for example, 29653 + ... + 41076.

It is an arithmetic number, because the mean of its divisors is an integer number (15786936).

Almost surely, 2^404004048 is an apocalyptic number.

404004048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

404004048 is an abundant number, since it is smaller than the sum of its proper divisors (858950832).

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

404004048 is a wasteful number, since it uses less digits than its factorization.

404004048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70764 (or 70758 counting only the distinct ones).

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

The square root of 404004048 is about 20099.8519397532. The cubic root of 404004048 is about 739.2566482233.

The spelling of 404004048 in words is "four hundred four million, four thousand, forty-eight".