314878980 has 96 divisors (see below), whose sum is σ = 952560000. Its totient is φ = 77257728.

The previous prime is 314878973. The next prime is 314879017. The reversal of 314878980 is 89878413.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388816 + ... + 389624.

It is an arithmetic number, because the mean of its divisors is an integer number (9922500).

Almost surely, 2^314878980 is an apocalyptic number.

314878980 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 314878980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476280000).

314878980 is an abundant number, since it is smaller than the sum of its proper divisors (637681020).

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

314878980 is a wasteful number, since it uses less digits than its factorization.

314878980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 314878980 is about 17744.8296695122. The cubic root of 314878980 is about 680.3220648544.

It can be divided in two parts, 3148 and 78980, that added together give a palindrome (82128).

The spelling of 314878980 in words is "three hundred fourteen million, eight hundred seventy-eight thousand, nine hundred eighty".