314525000 has 96 divisors (see below), whose sum is σ = 770575680. Its totient is φ = 120120000.

The previous prime is 314524979. The next prime is 314525033. The reversal of 314525000 is 525413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574727 + ... + 575273.

It is an arithmetic number, because the mean of its divisors is an integer number (8026830).

Almost surely, 2^314525000 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 314525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385287840).

314525000 is an abundant number, since it is smaller than the sum of its proper divisors (456050680).

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

314525000 is an equidigital number, since it uses as much as digits as its factorization.

314525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 314525000 is about 17734.8526918044. The cubic root of 314525000 is about 680.0670349139.

The spelling of 314525000 in words is "three hundred fourteen million, five hundred twenty-five thousand".