414142401 has 8 divisors (see below), whose sum is σ = 557076960. Its totient is φ = 273651392.

The previous prime is 414142387. The next prime is 414142403. The reversal of 414142401 is 104241414.

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 414142401 - 2²³ = 405753793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414142403) 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, 610491 + ... + 611168.

It is an arithmetic number, because the mean of its divisors is an integer number (69634620).

Almost surely, 2^414142401 is an apocalyptic number.

It is an amenable number.

414142401 is a deficient number, since it is larger than the sum of its proper divisors (142934559).

414142401 is a wasteful number, since it uses less digits than its factorization.

414142401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221775.

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 414142401 is about 20350.4889621847. The cubic root of 414142401 is about 745.3894340995.

Adding to 414142401 its reverse (104241414), we get a palindrome (518383815).

The spelling of 414142401 in words is "four hundred fourteen million, one hundred forty-two thousand, four hundred one".