400328200 has 24 divisors (see below), whose sum is σ = 930763530. Its totient is φ = 160131200.

The previous prime is 400328171. The next prime is 400328261. The reversal of 400328200 is 2823004.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 308283364 + 92044836 = 17558^2 + 9594^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1000621 + ... + 1001020.

Almost surely, 2^400328200 is an apocalyptic number.

400328200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400328200 is an abundant number, since it is smaller than the sum of its proper divisors (530435330).

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

400328200 is a wasteful number, since it uses less digits than its factorization.

400328200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001657 (or 2001648 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 400328200 is about 20008.2033176395. The cubic root of 400328200 is about 737.0077611614.

The spelling of 400328200 in words is "four hundred million, three hundred twenty-eight thousand, two hundred".