404088240 has 80 divisors (see below), whose sum is σ = 1254928608. Its totient is φ = 107563008.

The previous prime is 404088229. The next prime is 404088263. The reversal of 404088240 is 42880404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 404088198 and 404088207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174772 + ... + 177068.

Almost surely, 2^404088240 is an apocalyptic number.

404088240 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 404088240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627464304).

404088240 is an abundant number, since it is smaller than the sum of its proper divisors (850840368).

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

404088240 is a wasteful number, since it uses less digits than its factorization.

404088240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 404088240 is about 20101.9461744379. The cubic root of 404088240 is about 739.3079968612.

The spelling of 404088240 in words is "four hundred four million, eighty-eight thousand, two hundred forty".