314240441 has 8 divisors (see below), whose sum is σ = 323320200. Its totient is φ = 305228160.

The previous prime is 314240429. The next prime is 314240453. The reversal of 314240441 is 144042413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (314240429) and next prime (314240453).

It can be written as a sum of positive squares in 4 ways, for example, as 24049216 + 290191225 = 4904^2 + 17035^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314240441 - 2¹⁰ = 314239417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314242441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7346 + ... + 26123.

It is an arithmetic number, because the mean of its divisors is an integer number (40415025).

Almost surely, 2^314240441 is an apocalyptic number.

It is an amenable number.

314240441 is a deficient number, since it is larger than the sum of its proper divisors (9079759).

314240441 is a wasteful number, since it uses less digits than its factorization.

314240441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33739.

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

The square root of 314240441 is about 17726.8282837060. The cubic root of 314240441 is about 679.8618815500.

Adding to 314240441 its reverse (144042413), we get a palindrome (458282854).

The spelling of 314240441 in words is "three hundred fourteen million, two hundred forty thousand, four hundred forty-one".