400253304 has 128 divisors (see below), whose sum is σ = 1168577280. Its totient is φ = 112896000.

The previous prime is 400253281. The next prime is 400253311. The reversal of 400253304 is 403352004.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452847 + ... + 453729.

It is an arithmetic number, because the mean of its divisors is an integer number (9129510).

Almost surely, 2^400253304 is an apocalyptic number.

400253304 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 400253304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584288640).

400253304 is an abundant number, since it is smaller than the sum of its proper divisors (768323976).

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

400253304 is a wasteful number, since it uses less digits than its factorization.

400253304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 400253304 is about 20006.3315977717. The cubic root of 400253304 is about 736.9617968951.

The spelling of 400253304 in words is "four hundred million, two hundred fifty-three thousand, three hundred four".