314560401 has 16 divisors (see below), whose sum is σ = 444818304. Its totient is φ = 197045504.

The previous prime is 314560399. The next prime is 314560417. The reversal of 314560401 is 104065413.

It is not a de Polignac number, because 314560401 - 2¹ = 314560399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314560481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28231 + ... + 37763.

It is an arithmetic number, because the mean of its divisors is an integer number (27801144).

Almost surely, 2^314560401 is an apocalyptic number.

It is an amenable number.

314560401 is a deficient number, since it is larger than the sum of its proper divisors (130257903).

314560401 is a wasteful number, since it uses less digits than its factorization.

314560401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10200.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 314560401 is about 17735.8507267061. The cubic root of 314560401 is about 680.0925486780.

It can be divided in two parts, 3145 and 60401, that added together give a triangular number (63546 = T₃₅₆).

The spelling of 314560401 in words is "three hundred fourteen million, five hundred sixty thousand, four hundred one".