314689248 has 144 divisors (see below), whose sum is σ = 951350400. Its totient is φ = 98392320.

The previous prime is 314689241. The next prime is 314689259. The reversal of 314689248 is 842986413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314689241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716613 + ... + 717051.

It is an arithmetic number, because the mean of its divisors is an integer number (6606600).

Almost surely, 2^314689248 is an apocalyptic number.

314689248 is a gapful number since it is divisible by the number (38) 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 314689248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475675200).

314689248 is an abundant number, since it is smaller than the sum of its proper divisors (636661152).

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

314689248 is a wasteful number, since it uses less digits than its factorization.

314689248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 594 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 314689248 is about 17739.4827433046. The cubic root of 314689248 is about 680.1853935102.

The spelling of 314689248 in words is "three hundred fourteen million, six hundred eighty-nine thousand, two hundred forty-eight".