314444100 has 144 divisors (see below), whose sum is σ = 962438400. Its totient is φ = 79134720.

The previous prime is 314444059. The next prime is 314444101. The reversal of 314444100 is 1444413.

It is not an unprimeable number, because it can be changed into a prime (314444101) 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, 408516 + ... + 409284.

It is an arithmetic number, because the mean of its divisors is an integer number (6683600).

Almost surely, 2^314444100 is an apocalyptic number.

314444100 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 314444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481219200).

314444100 is an abundant number, since it is smaller than the sum of its proper divisors (647994300).

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

314444100 is a wasteful number, since it uses less digits than its factorization.

314444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 314444100 is about 17732.5717254999. The cubic root of 314444100 is about 680.0087224948.

Adding to 314444100 its reverse (1444413), we get a palindrome (315888513).

The spelling of 314444100 in words is "three hundred fourteen million, four hundred forty-four thousand, one hundred".