314400100 has 144 divisors (see below), whose sum is σ = 818003200. Its totient is φ = 102643200.

The previous prime is 314400071. The next prime is 314400103. The reversal of 314400100 is 1004413.

It is not an unprimeable number, because it can be changed into a prime (314400103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1579801 + ... + 1579999.

Almost surely, 2^314400100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409001600).

314400100 is an abundant number, since it is smaller than the sum of its proper divisors (503603100).

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

314400100 is a wasteful number, since it uses less digits than its factorization.

314400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 314400100 is about 17731.3310273087. The cubic root of 314400100 is about 679.9770032592.

Adding to 314400100 its reverse (1004413), we get a palindrome (315404513).

The spelling of 314400100 in words is "three hundred fourteen million, four hundred thousand, one hundred".