314413008 has 240 divisors, whose sum is σ = 1034755200. Its totient is φ = 82188288.

The previous prime is 314412979. The next prime is 314413009. The reversal of 314413008 is 800314413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314413009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2782360 + ... + 2782472.

It is an arithmetic number, because the mean of its divisors is an integer number (4311480).

Almost surely, 2^314413008 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 314413008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517377600).

314413008 is an abundant number, since it is smaller than the sum of its proper divisors (720342192).

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

314413008 is a wasteful number, since it uses less digits than its factorization.

314413008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 314413008 is about 17731.6950120399. The cubic root of 314413008 is about 679.9863088362.

The spelling of 314413008 in words is "three hundred fourteen million, four hundred thirteen thousand, eight".