404295840 has 384 divisors, whose sum is σ = 1595220480. Its totient is φ = 94887936.

The previous prime is 404295809. The next prime is 404295877. The reversal of 404295840 is 48592404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 404295795 and 404295804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1291524 + ... + 1291836.

It is an arithmetic number, because the mean of its divisors is an integer number (4154220).

Almost surely, 2^404295840 is an apocalyptic number.

404295840 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 404295840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797610240).

404295840 is an abundant number, since it is smaller than the sum of its proper divisors (1190924640).

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

404295840 is a wasteful number, since it uses less digits than its factorization.

404295840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 404295840 is about 20107.1091905326. The cubic root of 404295840 is about 739.4345814773.

The spelling of 404295840 in words is "four hundred four million, two hundred ninety-five thousand, eight hundred forty".