312414401 has 8 divisors (see below), whose sum is σ = 336662760. Its totient is φ = 288196992.

The previous prime is 312414391. The next prime is 312414449. The reversal of 312414401 is 104414213.

It can be written as a sum of positive squares in 4 ways, for example, as 2689600 + 309724801 = 1640^2 + 17599^2 .

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 312414401 - 2¹⁰ = 312413377 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312414481) 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, 15935 + ... + 29643.

It is an arithmetic number, because the mean of its divisors is an integer number (42082845).

Almost surely, 2^312414401 is an apocalyptic number.

It is an amenable number.

312414401 is a deficient number, since it is larger than the sum of its proper divisors (24248359).

312414401 is a wasteful number, since it uses less digits than its factorization.

312414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15475.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 312414401 is about 17675.2482585111. The cubic root of 312414401 is about 678.5424381083.

Adding to 312414401 its reverse (104414213), we get a palindrome (416828614).

The spelling of 312414401 in words is "three hundred twelve million, four hundred fourteen thousand, four hundred one".