404252264 has 64 divisors (see below), whose sum is σ = 839946240. Its totient is φ = 181232640.

The previous prime is 404252263. The next prime is 404252281. The reversal of 404252264 is 462252404.

It is not an unprimeable number, because it can be changed into a prime (404252263) by changing a digit.

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, 933392 + ... + 933824.

It is an arithmetic number, because the mean of its divisors is an integer number (13124160).

Almost surely, 2^404252264 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 404252264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419973120).

404252264 is an abundant number, since it is smaller than the sum of its proper divisors (435693976).

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

404252264 is a wasteful number, since it uses less digits than its factorization.

404252264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 404252264 is about 20106.0255644919. The cubic root of 404252264 is about 739.4080144969.

The spelling of 404252264 in words is "four hundred four million, two hundred fifty-two thousand, two hundred sixty-four".