314541920 has 192 divisors, whose sum is σ = 938552832. Its totient is φ = 97574400.

The previous prime is 314541919. The next prime is 314541949. The reversal of 314541920 is 29145413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1490615 + ... + 1490825.

It is an arithmetic number, because the mean of its divisors is an integer number (4888296).

Almost surely, 2^314541920 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 314541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469276416).

314541920 is an abundant number, since it is smaller than the sum of its proper divisors (624010912).

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

314541920 is a wasteful number, since it uses less digits than its factorization.

314541920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 314541920 is about 17735.3297121875. The cubic root of 314541920 is about 680.0792295226.

The spelling of 314541920 in words is "three hundred fourteen million, five hundred forty-one thousand, nine hundred twenty".