314400120 has 64 divisors (see below), whose sum is σ = 949501440. Its totient is φ = 83280000.

The previous prime is 314400103. The next prime is 314400139. The reversal of 314400120 is 21004413.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 314400120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9445 + ... + 26795.

It is an arithmetic number, because the mean of its divisors is an integer number (14835960).

Almost surely, 2^314400120 is an apocalyptic number.

314400120 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 314400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474750720).

314400120 is an abundant number, since it is smaller than the sum of its proper divisors (635101320).

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

314400120 is a wasteful number, since it uses less digits than its factorization.

314400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17516 (or 17512 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 314400120 is about 17731.3315912821. The cubic root of 314400120 is about 679.9770176777.

Adding to 314400120 its reverse (21004413), we get a palindrome (335404533).

The spelling of 314400120 in words is "three hundred fourteen million, four hundred thousand, one hundred twenty".