314801280 has 384 divisors, whose sum is σ = 1176215040. Its totient is φ = 77414400.

The previous prime is 314801273. The next prime is 314801287. The reversal of 314801280 is 82108413.

It is an interprime number because it is at equal distance from previous prime (314801273) and next prime (314801287).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (314801287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7320939 + ... + 7320981.

It is an arithmetic number, because the mean of its divisors is an integer number (3063060).

Almost surely, 2^314801280 is an apocalyptic number.

314801280 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 314801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588107520).

314801280 is an abundant number, since it is smaller than the sum of its proper divisors (861413760).

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

314801280 is a wasteful number, since it uses less digits than its factorization.

314801280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

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

The square root of 314801280 is about 17742.6401643047. The cubic root of 314801280 is about 680.2661011600.

Adding to 314801280 its reverse (82108413), we get a palindrome (396909693).

The spelling of 314801280 in words is "three hundred fourteen million, eight hundred one thousand, two hundred eighty".