314151464 has 64 divisors (see below), whose sum is σ = 668796480. Its totient is φ = 137088000.

The previous prime is 314151443. The next prime is 314151469. The reversal of 314151464 is 464151413.

314151464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×314151464² = 197382284666686592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (314151469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230144 + ... + 231504.

It is an arithmetic number, because the mean of its divisors is an integer number (10449945).

Almost surely, 2^314151464 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 314151464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334398240).

314151464 is an abundant number, since it is smaller than the sum of its proper divisors (354645016).

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

314151464 is a wasteful number, since it uses less digits than its factorization.

314151464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1478 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 314151464 is about 17724.3184354152. The cubic root of 314151464 is about 679.7977079926.

The spelling of 314151464 in words is "three hundred fourteen million, one hundred fifty-one thousand, four hundred sixty-four".