314144400 has 60 divisors (see below), whose sum is σ = 1006313072. Its totient is φ = 83771520.

The previous prime is 314144371. The next prime is 314144401. The reversal of 314144400 is 4441413.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (314144401) 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, 129694 + ... + 132093.

Almost surely, 2^314144400 is an apocalyptic number.

314144400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314144400 is an abundant number, since it is smaller than the sum of its proper divisors (692168672).

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

314144400 is a wasteful number, since it uses less digits than its factorization.

314144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261808 (or 261797 counting only the distinct ones).

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

The square root of 314144400 is about 17724.1191600598. The cubic root of 314144400 is about 679.7926126510.

Adding to 314144400 its reverse (4441413), we get a palindrome (318585813).

The spelling of 314144400 in words is "three hundred fourteen million, one hundred forty-four thousand, four hundred".