314424180 has 360 divisors, whose sum is σ = 1220106888. Its totient is φ = 67350528.

The previous prime is 314424161. The next prime is 314424193. The reversal of 314424180 is 81424413.

It can be written as a sum of positive squares in 4 ways, for example, as 29354724 + 285069456 = 5418^2 + 16884^2 .

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1349344 + ... + 1349576.

Almost surely, 2^314424180 is an apocalyptic number.

314424180 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 314424180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610053444).

314424180 is an abundant number, since it is smaller than the sum of its proper divisors (905682708).

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

314424180 is a wasteful number, since it uses less digits than its factorization.

314424180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 314424180 is about 17732.0100383459. The cubic root of 314424180 is about 679.9943626984.

Adding to 314424180 its reverse (81424413), we get a palindrome (395848593).

The spelling of 314424180 in words is "three hundred fourteen million, four hundred twenty-four thousand, one hundred eighty".