401200400 has 30 divisors (see below), whose sum is σ = 963884922. Its totient is φ = 160480000.

The previous prime is 401200399. The next prime is 401200421. The reversal of 401200400 is 4002104.

It can be written as a sum of positive squares in 3 ways, for example, as 39287824 + 361912576 = 6268^2 + 19024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501101 + ... + 501900.

Almost surely, 2^401200400 is an apocalyptic number.

401200400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401200400 is an abundant number, since it is smaller than the sum of its proper divisors (562684522).

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

401200400 is a wasteful number, since it uses less digits than its factorization.

401200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003019 (or 1003008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 401200400 is about 20029.9875187180. The cubic root of 401200400 is about 737.5426155591.

Adding to 401200400 its reverse (4002104), we get a palindrome (405202504).

The spelling of 401200400 in words is "four hundred one million, two hundred thousand, four hundred".