414444131 has 8 divisors (see below), whose sum is σ = 437514000. Its totient is φ = 391500000.

The previous prime is 414444127. The next prime is 414444137. The reversal of 414444131 is 131444414.

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 414444131 - 2² = 414444127 is a prime.

It is a super-4 number, since 4×414444131⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414444131.

It is not an unprimeable number, because it can be changed into a prime (414444137) 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, 24620 + ... + 37881.

It is an arithmetic number, because the mean of its divisors is an integer number (54689250).

Almost surely, 2^414444131 is an apocalyptic number.

414444131 is a deficient number, since it is larger than the sum of its proper divisors (23069869).

414444131 is a wasteful number, since it uses less digits than its factorization.

414444131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62869.

The product of its digits is 3072, while the sum is 26.

The square root of 414444131 is about 20357.9009477893. The cubic root of 414444131 is about 745.5704119112.

Adding to 414444131 its reverse (131444414), we get a palindrome (545888545).

It can be divided in two parts, 41444413 and 1, that added together give a palindrome (41444414).

The spelling of 414444131 in words is "four hundred fourteen million, four hundred forty-four thousand, one hundred thirty-one".