314969760 has 144 divisors (see below), whose sum is σ = 1228421376. Its totient is φ = 71990784.

The previous prime is 314969741. The next prime is 314969773. The reversal of 314969760 is 67969413.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 5544 + ... + 25703.

It is an arithmetic number, because the mean of its divisors is an integer number (8530704).

Almost surely, 2^314969760 is an apocalyptic number.

314969760 is a gapful number since it is divisible by the number (30) 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 314969760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614210688).

314969760 is an abundant number, since it is smaller than the sum of its proper divisors (913451616).

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

314969760 is a wasteful number, since it uses less digits than its factorization.

314969760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31275 (or 31264 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 314969760 is about 17747.3874133631. The cubic root of 314969760 is about 680.3874378038.

The spelling of 314969760 in words is "three hundred fourteen million, nine hundred sixty-nine thousand, seven hundred sixty".