404345040 has 160 divisors (see below), whose sum is σ = 1381625856. Its totient is φ = 97006080.

The previous prime is 404345033. The next prime is 404345047. The reversal of 404345040 is 40543404.

It is an interprime number because it is at equal distance from previous prime (404345033) and next prime (404345047).

It is a super-2 number, since 2×404345040² = 326989822745203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 404345040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404345047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271177 + ... + 272663.

Almost surely, 2^404345040 is an apocalyptic number.

404345040 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 404345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690812928).

404345040 is an abundant number, since it is smaller than the sum of its proper divisors (977280816).

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

404345040 is a wasteful number, since it uses less digits than its factorization.

404345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 404345040 is about 20108.3326011880. The cubic root of 404345040 is about 739.4645749476.

Adding to 404345040 its reverse (40543404), we get a palindrome (444888444).

The spelling of 404345040 in words is "four hundred four million, three hundred forty-five thousand, forty".