414250401 has 16 divisors (see below), whose sum is σ = 576976896. Its totient is φ = 263871696.

The previous prime is 414250391. The next prime is 414250439. The reversal of 414250401 is 104052414.

It is a happy number.

It is not a de Polignac number, because 414250401 - 2⁷ = 414250273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414250301) 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, 73386 + ... + 78828.

It is an arithmetic number, because the mean of its divisors is an integer number (36061056).

Almost surely, 2^414250401 is an apocalyptic number.

It is an amenable number.

414250401 is a deficient number, since it is larger than the sum of its proper divisors (162726495).

414250401 is a wasteful number, since it uses less digits than its factorization.

414250401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6572.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 414250401 is about 20353.1422881087. The cubic root of 414250401 is about 745.4542226537.

The spelling of 414250401 in words is "four hundred fourteen million, two hundred fifty thousand, four hundred one".