314863416 has 192 divisors, whose sum is σ = 1034208000. Its totient is φ = 88482240.

The previous prime is 314863397. The next prime is 314863441. The reversal of 314863416 is 614368413.

It is a happy number.

314863416 is a `hidden beast` number, since 3 + 1 + 4 + 8 + 634 + 16 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 751255 + ... + 751673.

It is an arithmetic number, because the mean of its divisors is an integer number (5386500).

Almost surely, 2^314863416 is an apocalyptic number.

314863416 is a gapful number since it is divisible by the number (36) 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 314863416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104000).

314863416 is an abundant number, since it is smaller than the sum of its proper divisors (719344584).

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

314863416 is a wasteful number, since it uses less digits than its factorization.

314863416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 502 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 314863416 is about 17744.3911138140. The cubic root of 314863416 is about 680.3108555669.

It can be divided in two parts, 3148 and 63416, that added together give a square (66564 = 258²).

The spelling of 314863416 in words is "three hundred fourteen million, eight hundred sixty-three thousand, four hundred sixteen".