314925408 has 240 divisors, whose sum is σ = 1121861664. Its totient is φ = 84602880.

The previous prime is 314925383. The next prime is 314925409. The reversal of 314925408 is 804529413.

314925408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314925409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 307938 + ... + 308958.

Almost surely, 2^314925408 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 314925408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560930832).

314925408 is an abundant number, since it is smaller than the sum of its proper divisors (806936256).

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

314925408 is a wasteful number, since it uses less digits than its factorization.

314925408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 314925408 is about 17746.1378333428. The cubic root of 314925408 is about 680.3555003884.

The spelling of 314925408 in words is "three hundred fourteen million, nine hundred twenty-five thousand, four hundred eight".