313889280 has 160 divisors (see below), whose sum is σ = 1047682944. Its totient is φ = 80019456.

The previous prime is 313889249. The next prime is 313889281. The reversal of 313889280 is 82988313.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (313889281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175752 + ... + 177528.

Almost surely, 2^313889280 is an apocalyptic number.

313889280 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 313889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523841472).

313889280 is an abundant number, since it is smaller than the sum of its proper divisors (733793664).

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

313889280 is a wasteful number, since it uses less digits than its factorization.

313889280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 313889280 is about 17716.9207256792. The cubic root of 313889280 is about 679.6085405488.

The spelling of 313889280 in words is "three hundred thirteen million, eight hundred eighty-nine thousand, two hundred eighty".