314400431 has 16 divisors (see below), whose sum is σ = 339220224. Its totient is φ = 290335104.

The previous prime is 314400413. The next prime is 314400451. The reversal of 314400431 is 134004413.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 314400431 - 2¹⁴ = 314384047 is a prime.

It is a super-2 number, since 2×314400431² = 197695262025971522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314400451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229310 + ... + 230676.

It is an arithmetic number, because the mean of its divisors is an integer number (21201264).

Almost surely, 2^314400431 is an apocalyptic number.

314400431 is a deficient number, since it is larger than the sum of its proper divisors (24819793).

314400431 is a wasteful number, since it uses less digits than its factorization.

314400431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 314400431 is about 17731.3403610669. The cubic root of 314400431 is about 679.9772418854.

Adding to 314400431 its reverse (134004413), we get a palindrome (448404844).

The spelling of 314400431 in words is "three hundred fourteen million, four hundred thousand, four hundred thirty-one".