404776080 has 120 divisors (see below), whose sum is σ = 1418534208. Its totient is φ = 103243008.

The previous prime is 404776037. The next prime is 404776081. The reversal of 404776080 is 80677404.

It is a happy number.

404776080 is a `hidden beast` number, since 4 + 0 + 47 + 7 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (404776081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4339 + ... + 28781.

Almost surely, 2^404776080 is an apocalyptic number.

404776080 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 404776080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709267104).

404776080 is an abundant number, since it is smaller than the sum of its proper divisors (1013758128).

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

404776080 is a wasteful number, since it uses less digits than its factorization.

404776080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24485 (or 24476 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 404776080 is about 20119.0476911806. The cubic root of 404776080 is about 739.7272430365.

The spelling of 404776080 in words is "four hundred four million, seven hundred seventy-six thousand, eighty".