404249424 has 80 divisors (see below), whose sum is σ = 1088501760. Its totient is φ = 129133440.

The previous prime is 404249413. The next prime is 404249431. The reversal of 404249424 is 424942404.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 157947 + ... + 160485.

It is an arithmetic number, because the mean of its divisors is an integer number (13606272).

Almost surely, 2^404249424 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 404249424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544250880).

404249424 is an abundant number, since it is smaller than the sum of its proper divisors (684252336).

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

404249424 is a wasteful number, since it uses less digits than its factorization.

404249424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 404249424 is about 20105.9549387737. The cubic root of 404249424 is about 739.4062829678.

The spelling of 404249424 in words is "four hundred four million, two hundred forty-nine thousand, four hundred twenty-four".