314134590 has 96 divisors (see below), whose sum is σ = 956790144. Its totient is φ = 65271360.

The previous prime is 314134577. The next prime is 314134607. The reversal of 314134590 is 95431413.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6457 + ... + 25883.

It is an arithmetic number, because the mean of its divisors is an integer number (9966564).

Almost surely, 2^314134590 is an apocalyptic number.

314134590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314134590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478395072).

314134590 is an abundant number, since it is smaller than the sum of its proper divisors (642655554).

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

314134590 is a wasteful number, since it uses less digits than its factorization.

314134590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19462 (or 19455 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 314134590 is about 17723.8424163611. The cubic root of 314134590 is about 679.7855364626.

The spelling of 314134590 in words is "three hundred fourteen million, one hundred thirty-four thousand, five hundred ninety".