404974080 has 560 divisors, whose sum is σ = 1717461504. Its totient is φ = 89579520.

The previous prime is 404974057. The next prime is 404974081. The reversal of 404974080 is 80479404.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404974081) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13063665 + ... + 13063695.

Almost surely, 2^404974080 is an apocalyptic number.

404974080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858730752).

404974080 is an abundant number, since it is smaller than the sum of its proper divisors (1312487424).

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

404974080 is an frugal number, since it uses more digits than its factorization.

404974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 404974080 is about 20123.9677996165. The cubic root of 404974080 is about 739.8478382051.

The spelling of 404974080 in words is "four hundred four million, nine hundred seventy-four thousand, eighty".