314674140 has 96 divisors (see below), whose sum is σ = 977598720. Its totient is φ = 74982400.

The previous prime is 314674133. The next prime is 314674147. The reversal of 314674140 is 41476413.

It is an interprime number because it is at equal distance from previous prime (314674133) and next prime (314674147).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 314674098 and 314674107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314674147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34900 + ... + 42980.

It is an arithmetic number, because the mean of its divisors is an integer number (10183320).

Almost surely, 2^314674140 is an apocalyptic number.

314674140 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 314674140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488799360).

314674140 is an abundant number, since it is smaller than the sum of its proper divisors (662924580).

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

314674140 is a wasteful number, since it uses less digits than its factorization.

314674140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8163 (or 8161 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 314674140 is about 17739.0569084154. The cubic root of 314674140 is about 680.1745082687.

The spelling of 314674140 in words is "three hundred fourteen million, six hundred seventy-four thousand, one hundred forty".