404280960 has 128 divisors (see below), whose sum is σ = 1296509760. Its totient is φ = 107151360.

The previous prime is 404280941. The next prime is 404280971. The reversal of 404280960 is 69082404.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370015 + ... + 371105.

Almost surely, 2^404280960 is an apocalyptic number.

404280960 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 404280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648254880).

404280960 is an abundant number, since it is smaller than the sum of its proper divisors (892228800).

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

404280960 is a wasteful number, since it uses less digits than its factorization.

404280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 404280960 is about 20106.7391687464. The cubic root of 404280960 is about 739.4255098022.

The spelling of 404280960 in words is "four hundred four million, two hundred eighty thousand, nine hundred sixty".