414151401 has 8 divisors (see below), whose sum is σ = 552296160. Its totient is φ = 276053792.

The previous prime is 414151319. The next prime is 414151403. The reversal of 414151401 is 104151414.

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 414151401 - 2¹¹ = 414149353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414151403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26221 + ... + 38933.

It is an arithmetic number, because the mean of its divisors is an integer number (69037020).

Almost surely, 2^414151401 is an apocalyptic number.

It is an amenable number.

414151401 is a deficient number, since it is larger than the sum of its proper divisors (138144759).

414151401 is a wasteful number, since it uses less digits than its factorization.

414151401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23575.

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 414151401 is about 20350.7100858914. The cubic root of 414151401 is about 745.3948335759.

The spelling of 414151401 in words is "four hundred fourteen million, one hundred fifty-one thousand, four hundred one".