314286480 has 280 divisors, whose sum is σ = 1163677752. Its totient is φ = 78630912.

The previous prime is 314286461. The next prime is 314286487. The reversal of 314286480 is 84682413.

314286480 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 8 + 648 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11943936 + 302342544 = 3456^2 + 17388^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314286487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 991282 + ... + 991598.

Almost surely, 2^314286480 is an apocalyptic number.

314286480 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 314286480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581838876).

314286480 is an abundant number, since it is smaller than the sum of its proper divisors (849391272).

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

314286480 is a wasteful number, since it uses less digits than its factorization.

314286480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 314286480 is about 17728.1268046006. The cubic root of 314286480 is about 679.8950818521.

The spelling of 314286480 in words is "three hundred fourteen million, two hundred eighty-six thousand, four hundred eighty".