431200400 has 30 divisors (see below), whose sum is σ = 1035959922. Its totient is φ = 172480000.

The previous prime is 431200397. The next prime is 431200423. The reversal of 431200400 is 4002134.

It can be written as a sum of positive squares in 3 ways, for example, as 3041536 + 428158864 = 1744^2 + 20692^2 .

It is a congruent number.

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, 538601 + ... + 539400.

Almost surely, 2^431200400 is an apocalyptic number.

431200400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431200400 is an abundant number, since it is smaller than the sum of its proper divisors (604759522).

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

431200400 is a wasteful number, since it uses less digits than its factorization.

431200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078019 (or 1078008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 431200400 is about 20765.3653952922. The cubic root of 431200400 is about 755.4859377737.

Adding to 431200400 its reverse (4002134), we get a palindrome (435202534).

The spelling of 431200400 in words is "four hundred thirty-one million, two hundred thousand, four hundred".