314394528 has 96 divisors (see below), whose sum is σ = 948326400. Its totient is φ = 89337600.

The previous prime is 314394527. The next prime is 314394551. The reversal of 314394528 is 825493413.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (314394527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132553 + ... + 134903.

It is an arithmetic number, because the mean of its divisors is an integer number (9878400).

Almost surely, 2^314394528 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 314394528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474163200).

314394528 is an abundant number, since it is smaller than the sum of its proper divisors (633931872).

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

314394528 is a wasteful number, since it uses less digits than its factorization.

314394528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2562 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 314394528 is about 17731.1739036083. The cubic root of 314394528 is about 679.9729862394.

The spelling of 314394528 in words is "three hundred fourteen million, three hundred ninety-four thousand, five hundred twenty-eight".