314072700 has 72 divisors (see below), whose sum is σ = 925909488. Its totient is φ = 82168320.

The previous prime is 314072683. The next prime is 314072701. The reversal of 314072700 is 7270413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314072701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6024 + ... + 25776.

It is an arithmetic number, because the mean of its divisors is an integer number (12859854).

Almost surely, 2^314072700 is an apocalyptic number.

314072700 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 314072700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462954744).

314072700 is an abundant number, since it is smaller than the sum of its proper divisors (611836788).

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

314072700 is a wasteful number, since it uses less digits than its factorization.

314072700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19823 (or 19816 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 314072700 is about 17722.0963771220. The cubic root of 314072700 is about 679.7408903231.

The spelling of 314072700 in words is "three hundred fourteen million, seventy-two thousand, seven hundred".