314526464 has 72 divisors (see below), whose sum is σ = 722496768. Its totient is φ = 133862400.

The previous prime is 314526451. The next prime is 314526473. The reversal of 314526464 is 464625413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298739 + ... + 299789.

Almost surely, 2^314526464 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 314526464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361248384).

314526464 is an abundant number, since it is smaller than the sum of its proper divisors (407970304).

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

314526464 is a wasteful number, since it uses less digits than its factorization.

314526464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1227 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 314526464 is about 17734.8939664155. The cubic root of 314526464 is about 680.0680900676.

The spelling of 314526464 in words is "three hundred fourteen million, five hundred twenty-six thousand, four hundred sixty-four".