314456064 has 192 divisors, whose sum is σ = 939294720. Its totient is φ = 92897280.

The previous prime is 314456059. The next prime is 314456083. The reversal of 314456064 is 460654413.

It is a tau number, because it is divible by the number of its divisors (192).

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, 2475969 + ... + 2476095.

It is an arithmetic number, because the mean of its divisors is an integer number (4892160).

Almost surely, 2^314456064 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 314456064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469647360).

314456064 is an abundant number, since it is smaller than the sum of its proper divisors (624838656).

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

314456064 is a wasteful number, since it uses less digits than its factorization.

314456064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 314456064 is about 17732.9090676065. The cubic root of 314456064 is about 680.0173467316.

The spelling of 314456064 in words is "three hundred fourteen million, four hundred fifty-six thousand, sixty-four".