314280064 has 64 divisors (see below), whose sum is σ = 753249600. Its totient is φ = 127595520.

The previous prime is 314280053. The next prime is 314280067. The reversal of 314280064 is 460082413.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (314280067) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7794 + ... + 26254.

It is an arithmetic number, because the mean of its divisors is an integer number (11769525).

Almost surely, 2^314280064 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 314280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376624800).

314280064 is an abundant number, since it is smaller than the sum of its proper divisors (438969536).

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

314280064 is a wasteful number, since it uses less digits than its factorization.

314280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18501 (or 18489 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 314280064 is about 17727.9458482927. The cubic root of 314280064 is about 679.8904552489.

The spelling of 314280064 in words is "three hundred fourteen million, two hundred eighty thousand, sixty-four".