314874000 has 640 divisors, whose sum is σ = 1392768000. Its totient is φ = 67737600.

The previous prime is 314873981. The next prime is 314874041. The reversal of 314874000 is 478413.

314874000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18521992 + ... + 18522008.

It is an arithmetic number, because the mean of its divisors is an integer number (2176200).

Almost surely, 2^314874000 is an apocalyptic number.

314874000 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 314874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696384000).

314874000 is an abundant number, since it is smaller than the sum of its proper divisors (1077894000).

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

314874000 is a wasteful number, since it uses less digits than its factorization.

314874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 314874000 is about 17744.6893463932. The cubic root of 314874000 is about 680.3184782683.

The spelling of 314874000 in words is "three hundred fourteen million, eight hundred seventy-four thousand".