314737464 has 64 divisors (see below), whose sum is σ = 823284000. Its totient is φ = 100136960.

The previous prime is 314737453. The next prime is 314737477. The reversal of 314737464 is 464737413.

It is a super-3 number, since 3×314737464³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 59404 + ... + 64484.

Almost surely, 2^314737464 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 314737464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411642000).

314737464 is an abundant number, since it is smaller than the sum of its proper divisors (508546536).

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

314737464 is a wasteful number, since it uses less digits than its factorization.

314737464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208 (or 5204 counting only the distinct ones).

The product of its digits is 169344, while the sum is 39.

The square root of 314737464 is about 17740.8416936740. The cubic root of 314737464 is about 680.2201305768.

The spelling of 314737464 in words is "three hundred fourteen million, seven hundred thirty-seven thousand, four hundred sixty-four".