431312400 has 90 divisors (see below), whose sum is σ = 1496786330. Its totient is φ = 115015680.

The previous prime is 431312383. The next prime is 431312417. The reversal of 431312400 is 4213134.

It is an interprime number because it is at equal distance from previous prime (431312383) and next prime (431312417).

It can be written as a sum of positive squares in 3 ways, for example, as 122677776 + 308634624 = 11076^2 + 17568^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 56305 + ... + 63504.

Almost surely, 2^431312400 is an apocalyptic number.

431312400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431312400 is an abundant number, since it is smaller than the sum of its proper divisors (1065473930).

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

431312400 is a wasteful number, since it uses less digits than its factorization.

431312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119833 (or 119819 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 431312400 is about 20768.0620183974. The cubic root of 431312400 is about 755.5513420885.

Adding to 431312400 its reverse (4213134), we get a palindrome (435525534).

The spelling of 431312400 in words is "four hundred thirty-one million, three hundred twelve thousand, four hundred".