414045825 has 24 divisors (see below), whose sum is σ = 685456128. Its totient is φ = 220534080.

The previous prime is 414045823. The next prime is 414045851. The reversal of 414045825 is 528540414.

It is a happy number.

It is not a de Polignac number, because 414045825 - 2¹ = 414045823 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414045823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61527 + ... + 67923.

It is an arithmetic number, because the mean of its divisors is an integer number (28560672).

Almost surely, 2^414045825 is an apocalyptic number.

It is an amenable number.

414045825 is a deficient number, since it is larger than the sum of its proper divisors (271410303).

414045825 is a wasteful number, since it uses less digits than its factorization.

414045825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7273 (or 7268 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The square root of 414045825 is about 20348.1160061564. The cubic root of 414045825 is about 745.3314891944.

The spelling of 414045825 in words is "four hundred fourteen million, forty-five thousand, eight hundred twenty-five".