404749440 has 256 divisors, whose sum is σ = 1461456000. Its totient is φ = 105836544.

The previous prime is 404749427. The next prime is 404749441. The reversal of 404749440 is 44947404.

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 = 404749395 and 404749404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404749441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1019322 + ... + 1019718.

Almost surely, 2^404749440 is an apocalyptic number.

404749440 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 404749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730728000).

404749440 is an abundant number, since it is smaller than the sum of its proper divisors (1056706560).

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

404749440 is a wasteful number, since it uses less digits than its factorization.

404749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 404749440 is about 20118.3856211178. The cubic root of 404749440 is about 739.7110145034.

The spelling of 404749440 in words is "four hundred four million, seven hundred forty-nine thousand, four hundred forty".