404088960 has 384 divisors, whose sum is σ = 1510954560. Its totient is φ = 91054080.

The previous prime is 404088953. The next prime is 404088967. The reversal of 404088960 is 69880404.

It is an interprime number because it is at equal distance from previous prime (404088953) and next prime (404088967).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404088967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7624294 + ... + 7624346.

Almost surely, 2^404088960 is an apocalyptic number.

404088960 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 404088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755477280).

404088960 is an abundant number, since it is smaller than the sum of its proper divisors (1106865600).

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

404088960 is a wasteful number, since it uses less digits than its factorization.

404088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 404088960 is about 20101.9640831437. The cubic root of 404088960 is about 739.3084359579.

The spelling of 404088960 in words is "four hundred four million, eighty-eight thousand, nine hundred sixty".