314114424 has 64 divisors (see below), whose sum is σ = 851894400. Its totient is φ = 95942016.

The previous prime is 314114377. The next prime is 314114429. The reversal of 314114424 is 424411413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 314114394 and 314114403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314114429) 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, 39747 + ... + 46989.

It is an arithmetic number, because the mean of its divisors is an integer number (13310850).

Almost surely, 2^314114424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314114424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425947200).

314114424 is an abundant number, since it is smaller than the sum of its proper divisors (537779976).

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

314114424 is a wasteful number, since it uses less digits than its factorization.

314114424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7404 (or 7400 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 314114424 is about 17723.2735125315. The cubic root of 314114424 is about 679.7709897800.

Adding to 314114424 its reverse (424411413), we get a palindrome (738525837).

The spelling of 314114424 in words is "three hundred fourteen million, one hundred fourteen thousand, four hundred twenty-four".