314400441 has 8 divisors (see below), whose sum is σ = 420247584. Its totient is φ = 209076800.

The previous prime is 314400413. The next prime is 314400451. The reversal of 314400441 is 144004413.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314400441 - 2⁷ = 314400313 is a prime.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129471 + ... + 131876.

It is an arithmetic number, because the mean of its divisors is an integer number (52530948).

Almost surely, 2^314400441 is an apocalyptic number.

It is an amenable number.

314400441 is a deficient number, since it is larger than the sum of its proper divisors (105847143).

314400441 is a wasteful number, since it uses less digits than its factorization.

314400441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261751.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 314400441 is about 17731.3406430535. The cubic root of 314400441 is about 679.9772490947.

Adding to 314400441 its reverse (144004413), we get a palindrome (458404854).

The spelling of 314400441 in words is "three hundred fourteen million, four hundred thousand, four hundred forty-one".