314120430 has 160 divisors (see below), whose sum is σ = 949886784. Its totient is φ = 73903104.

The previous prime is 314120413. The next prime is 314120437. The reversal of 314120430 is 34021413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314120437) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 241542 + ... + 242838.

Almost surely, 2^314120430 is an apocalyptic number.

314120430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314120430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474943392).

314120430 is an abundant number, since it is smaller than the sum of its proper divisors (635766354).

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

314120430 is a wasteful number, since it uses less digits than its factorization.

314120430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 314120430 is about 17723.4429499463. The cubic root of 314120430 is about 679.7753222549.

Adding to 314120430 its reverse (34021413), we get a palindrome (348141843).

The spelling of 314120430 in words is "three hundred fourteen million, one hundred twenty thousand, four hundred thirty".