314081280 has 256 divisors, whose sum is σ = 1132444800. Its totient is φ = 82575360.

The previous prime is 314081269. The next prime is 314081303. The reversal of 314081280 is 82180413.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4423645 + ... + 4423715.

Almost surely, 2^314081280 is an apocalyptic number.

314081280 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 314081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566222400).

314081280 is an abundant number, since it is smaller than the sum of its proper divisors (818363520).

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

314081280 is an frugal number, since it uses more digits than its factorization.

314081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 314081280 is about 17722.3384461532. The cubic root of 314081280 is about 679.7470801042.

314081280 divided by its product of nonzero digits (1536) gives a triangular number (204480 = T₆₃₉).

The spelling of 314081280 in words is "three hundred fourteen million, eighty-one thousand, two hundred eighty".