404442624 has 80 divisors (see below), whose sum is σ = 1084216320. Its totient is φ = 133969920.

The previous prime is 404442593. The next prime is 404442641. The reversal of 404442624 is 426244404.

It is a super-2 number, since 2×404442624² = 327147672216010752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404442591 and 404442600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274209 + ... + 275679.

It is an arithmetic number, because the mean of its divisors is an integer number (13552704).

Almost surely, 2^404442624 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 404442624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542108160).

404442624 is an abundant number, since it is smaller than the sum of its proper divisors (679773696).

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

404442624 is a wasteful number, since it uses less digits than its factorization.

404442624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 404442624 is about 20110.7589115876. The cubic root of 404442624 is about 739.5240572377.

The spelling of 404442624 in words is "four hundred four million, four hundred forty-two thousand, six hundred twenty-four".