314251400 has 96 divisors (see below), whose sum is σ = 755844480. Its totient is φ = 121440000.

The previous prime is 314251387. The next prime is 314251411. The reversal of 314251400 is 4152413.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949235 + ... + 949565.

It is an arithmetic number, because the mean of its divisors is an integer number (7873380).

Almost surely, 2^314251400 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 314251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377922240).

314251400 is an abundant number, since it is smaller than the sum of its proper divisors (441593080).

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

314251400 is a wasteful number, since it uses less digits than its factorization.

314251400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 314251400 is about 17727.1373887608. The cubic root of 314251400 is about 679.8697847549.

The spelling of 314251400 in words is "three hundred fourteen million, two hundred fifty-one thousand, four hundred".