314124440 has 64 divisors (see below), whose sum is σ = 810388800. Its totient is φ = 107347968.

The previous prime is 314124427. The next prime is 314124449. The reversal of 314124440 is 44421413.

It is a happy number.

314124440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314124449) 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, 92696 + ... + 96024.

It is an arithmetic number, because the mean of its divisors is an integer number (12662325).

Almost surely, 2^314124440 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 314124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405194400).

314124440 is an abundant number, since it is smaller than the sum of its proper divisors (496264360).

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

314124440 is a wasteful number, since it uses less digits than its factorization.

314124440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 314124440 is about 17723.5560765891. The cubic root of 314124440 is about 679.7782148689.

Adding to 314124440 its reverse (44421413), we get a palindrome (358545853).

The spelling of 314124440 in words is "three hundred fourteen million, one hundred twenty-four thousand, four hundred forty".