314400353 has 8 divisors (see below), whose sum is σ = 331876800. Its totient is φ = 297016848.

The previous prime is 314400349. The next prime is 314400407. The reversal of 314400353 is 353004413.

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 314400353 - 2² = 314400349 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314400313) 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, 16226 + ... + 29867.

It is an arithmetic number, because the mean of its divisors is an integer number (41484600).

Almost surely, 2^314400353 is an apocalyptic number.

It is an amenable number.

314400353 is a deficient number, since it is larger than the sum of its proper divisors (17476447).

314400353 is a wasteful number, since it uses less digits than its factorization.

314400353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46471.

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 314400353 is about 17731.3381615714. The cubic root of 314400353 is about 679.9771856533.

Adding to 314400353 its reverse (353004413), we get a palindrome (667404766).

The spelling of 314400353 in words is "three hundred fourteen million, four hundred thousand, three hundred fifty-three".