404564424 has 64 divisors (see below), whose sum is σ = 1108261440. Its totient is φ = 122050560.

The previous prime is 404564417. The next prime is 404564429. The reversal of 404564424 is 424465404.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (404564429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58224 + ... + 64800.

It is an arithmetic number, because the mean of its divisors is an integer number (17316585).

Almost surely, 2^404564424 is an apocalyptic number.

404564424 is a gapful number since it is divisible by the number (44) 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 404564424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554130720).

404564424 is an abundant number, since it is smaller than the sum of its proper divisors (703697016).

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

404564424 is a wasteful number, since it uses less digits than its factorization.

404564424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6830 (or 6826 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The square root of 404564424 is about 20113.7869134581. The cubic root of 404564424 is about 739.5982869588.

The spelling of 404564424 in words is "four hundred four million, five hundred sixty-four thousand, four hundred twenty-four".