404407040 has 72 divisors (see below), whose sum is σ = 994978320. Its totient is φ = 157372416.

The previous prime is 404407021. The next prime is 404407043. The reversal of 404407040 is 40704404.

It is a junction number, because it is equal to n+sod(n) for n = 404406997 and 404407015.

It is not an unprimeable number, because it can be changed into a prime (404407043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43091 + ... + 51629.

Almost surely, 2^404407040 is an apocalyptic number.

404407040 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 404407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497489160).

404407040 is an abundant number, since it is smaller than the sum of its proper divisors (590571280).

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

404407040 is an equidigital number, since it uses as much as digits as its factorization.

404407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8597 (or 8583 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 404407040 is about 20109.8741915508. The cubic root of 404407040 is about 739.5023681325.

The spelling of 404407040 in words is "four hundred four million, four hundred seven thousand, forty".