314550240 has 192 divisors, whose sum is σ = 1045094400. Its totient is φ = 79407104.

The previous prime is 314550239. The next prime is 314550251. The reversal of 314550240 is 42055413.

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

It is a self number, because there is not a number n which added to its sum of digits gives 314550240.

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 31 ways as a sum of consecutive naturals, for example, 821089 + ... + 821471.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2^314550240 is an apocalyptic number.

314550240 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 314550240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522547200).

314550240 is an abundant number, since it is smaller than the sum of its proper divisors (730544160).

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

314550240 is a wasteful number, since it uses less digits than its factorization.

314550240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 314550240 is about 17735.5642706963. The cubic root of 314550240 is about 680.0852257656.

The spelling of 314550240 in words is "three hundred fourteen million, five hundred fifty thousand, two hundred forty".