314204064 has 96 divisors (see below), whose sum is σ = 919356480. Its totient is φ = 93376512.

The previous prime is 314204063. The next prime is 314204113. The reversal of 314204064 is 460402413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (314204063) 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, 25942 + ... + 36074.

It is an arithmetic number, because the mean of its divisors is an integer number (9576630).

Almost surely, 2^314204064 is an apocalyptic number.

314204064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314204064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459678240).

314204064 is an abundant number, since it is smaller than the sum of its proper divisors (605152416).

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

314204064 is a wasteful number, since it uses less digits than its factorization.

314204064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10182 (or 10174 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 314204064 is about 17725.8022103373. The cubic root of 314204064 is about 679.8356465541.

Adding to 314204064 its reverse (460402413), we get a palindrome (774606477).

The spelling of 314204064 in words is "three hundred fourteen million, two hundred four thousand, sixty-four".