313464816 has 200 divisors, whose sum is σ = 1049679840. Its totient is φ = 88459776.

The previous prime is 313464779. The next prime is 313464821. The reversal of 313464816 is 618464313.

It is a happy number.

313464816 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 648 + 1 + 6 = 666.

It is a super-3 number, since 3×313464816³ (a number of 26 digits) contains 333 as substring.

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 39 ways as a sum of consecutive naturals, for example, 988690 + ... + 989006.

Almost surely, 2^313464816 is an apocalyptic number.

313464816 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 313464816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524839920).

313464816 is an abundant number, since it is smaller than the sum of its proper divisors (736215024).

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

313464816 is a wasteful number, since it uses less digits than its factorization.

313464816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 438 counting only the distinct ones).

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

The square root of 313464816 is about 17704.9376163826. The cubic root of 313464816 is about 679.3020635993.

The spelling of 313464816 in words is "three hundred thirteen million, four hundred sixty-four thousand, eight hundred sixteen".