404008800480 has 72 divisors (see below), whose sum is σ = 1378680036552. Its totient is φ = 107735679744.

The previous prime is 404008800427. The next prime is 404008800491. The reversal of 404008800480 is 84008800404.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×404008800480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140279394 + ... + 140282273.

It is an arithmetic number, because the mean of its divisors is an integer number (19148333841).

Almost surely, 2^404008800480 is an apocalyptic number.

404008800480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404008800480 is an abundant number, since it is smaller than the sum of its proper divisors (974671236072).

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

404008800480 is a wasteful number, since it uses less digits than its factorization.

404008800480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280561688 (or 280561677 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 404008800480 in words is "four hundred four billion, eight million, eight hundred thousand, four hundred eighty".