314624401 has 32 divisors (see below), whose sum is σ = 409687040. Its totient is φ = 234633024.

The previous prime is 314624353. The next prime is 314624413. The reversal of 314624401 is 104426413.

It is a cyclic number.

It is not a de Polignac number, because 314624401 - 2¹¹ = 314622353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314621401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488986 + ... + 489628.

It is an arithmetic number, because the mean of its divisors is an integer number (12802720).

Almost surely, 2^314624401 is an apocalyptic number.

It is an amenable number.

314624401 is a deficient number, since it is larger than the sum of its proper divisors (95062639).

314624401 is a wasteful number, since it uses less digits than its factorization.

314624401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965.

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 314624401 is about 17737.6548900919. The cubic root of 314624401 is about 680.1386690960.

The spelling of 314624401 in words is "three hundred fourteen million, six hundred twenty-four thousand, four hundred one".