314625420 has 72 divisors (see below), whose sum is σ = 960850800. Its totient is φ = 83329920.

The previous prime is 314625391. The next prime is 314625433. The reversal of 314625420 is 24526413.

314625420 is a `hidden beast` number, since 3 + 14 + 625 + 4 + 20 = 666.

314625420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 20955 + ... + 32685.

It is an arithmetic number, because the mean of its divisors is an integer number (13345150).

Almost surely, 2^314625420 is an apocalyptic number.

314625420 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 314625420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480425400).

314625420 is an abundant number, since it is smaller than the sum of its proper divisors (646225380).

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

314625420 is a wasteful number, since it uses less digits than its factorization.

314625420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11895 (or 11890 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 314625420 is about 17737.6836142716. The cubic root of 314625420 is about 680.1394033689.

The spelling of 314625420 in words is "three hundred fourteen million, six hundred twenty-five thousand, four hundred twenty".