314342400 has 132 divisors (see below), whose sum is σ = 1039171832. Its totient is φ = 83804160.

The previous prime is 314342389. The next prime is 314342407. The reversal of 314342400 is 4243413.

It is a super-2 number, since 2×314342400² = 197622288875520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314342407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74754 + ... + 78846.

Almost surely, 2^314342400 is an apocalyptic number.

314342400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519585916).

314342400 is an abundant number, since it is smaller than the sum of its proper divisors (724829432).

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

314342400 is a wasteful number, since it uses less digits than its factorization.

314342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 314342400 is about 17729.7038892363. The cubic root of 314342400 is about 679.9354033217.

Adding to 314342400 its reverse (4243413), we get a palindrome (318585813).

The spelling of 314342400 in words is "three hundred fourteen million, three hundred forty-two thousand, four hundred".