314422400 has 48 divisors (see below), whose sum is σ = 776729490. Its totient is φ = 125767680.

The previous prime is 314422391. The next prime is 314422403. The reversal of 314422400 is 4224413.

It can be written as a sum of positive squares in 3 ways, for example, as 180418624 + 134003776 = 13432^2 + 11576^2 .

It is a super-2 number, since 2×314422400² = 197722891243520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (314422403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45929 + ... + 52328.

Almost surely, 2^314422400 is an apocalyptic number.

It is an amenable number.

314422400 is an abundant number, since it is smaller than the sum of its proper divisors (462307090).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314422400 is an equidigital number, since it uses as much as digits as its factorization.

314422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98281 (or 98264 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 314422400 is about 17731.9598465595. The cubic root of 314422400 is about 679.9930795143.

Adding to 314422400 its reverse (4224413), we get a palindrome (318646813).

The spelling of 314422400 in words is "three hundred fourteen million, four hundred twenty-two thousand, four hundred".