314169120 has 144 divisors (see below), whose sum is σ = 1082652480. Its totient is φ = 82954752.

The previous prime is 314169077. The next prime is 314169131. The reversal of 314169120 is 21961413.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153061 + ... + 155099.

It is an arithmetic number, because the mean of its divisors is an integer number (7518420).

Almost surely, 2^314169120 is an apocalyptic number.

314169120 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 314169120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541326240).

314169120 is an abundant number, since it is smaller than the sum of its proper divisors (768483360).

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

314169120 is a wasteful number, since it uses less digits than its factorization.

314169120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 314169120 is about 17724.8165011658. The cubic root of 314169120 is about 679.8104431271.

The spelling of 314169120 in words is "three hundred fourteen million, one hundred sixty-nine thousand, one hundred twenty".