414521625 has 96 divisors (see below), whose sum is σ = 850217472. Its totient is φ = 178214400.

The previous prime is 414521599. The next prime is 414521633. The reversal of 414521625 is 526125414.

It is not a de Polignac number, because 414521625 - 2⁵ = 414521593 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 414521592 and 414521601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311712 + ... + 313038.

It is an arithmetic number, because the mean of its divisors is an integer number (8856432).

Almost surely, 2^414521625 is an apocalyptic number.

It is an amenable number.

414521625 is an abundant number, since it is smaller than the sum of its proper divisors (435695847).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414521625 is a wasteful number, since it uses less digits than its factorization.

414521625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1359 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 414521625 is about 20359.8041493527. The cubic root of 414521625 is about 745.6168786751.

The spelling of 414521625 in words is "four hundred fourteen million, five hundred twenty-one thousand, six hundred twenty-five".