404383824 has 120 divisors (see below), whose sum is σ = 1224291432. Its totient is φ = 123863040.

The previous prime is 404383813. The next prime is 404383831. The reversal of 404383824 is 428383404.

It can be written as a sum of positive squares in 4 ways, for example, as 38044224 + 366339600 = 6168^2 + 19140^2 .

It is a super-2 number, since 2×404383824² = 327052554225725952, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630544 + ... + 631184.

Almost surely, 2^404383824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404383824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612145716).

404383824 is an abundant number, since it is smaller than the sum of its proper divisors (819907608).

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

404383824 is a wasteful number, since it uses less digits than its factorization.

404383824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 404383824 is about 20109.2969543940. The cubic root of 404383824 is about 739.4882168659.

The spelling of 404383824 in words is "four hundred four million, three hundred eighty-three thousand, eight hundred twenty-four".