416426225 has 24 divisors (see below), whose sum is σ = 535616760. Its totient is φ = 320785920.

The previous prime is 416426207. The next prime is 416426261. The reversal of 416426225 is 522624614.

It can be written as a sum of positive squares in 12 ways, for example, as 351075169 + 65351056 = 18737^2 + 8084^2 .

It is not a de Polignac number, because 416426225 - 2¹⁴ = 416409841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 416426191 and 416426200.

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 23 ways as a sum of consecutive naturals, for example, 443957 + ... + 444893.

It is an arithmetic number, because the mean of its divisors is an integer number (22317365).

Almost surely, 2^416426225 is an apocalyptic number.

It is an amenable number.

416426225 is a deficient number, since it is larger than the sum of its proper divisors (119190535).

416426225 is a wasteful number, since it uses less digits than its factorization.

416426225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1584 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 416426225 is about 20406.5240793233. The cubic root of 416426225 is about 746.7570945920.

The spelling of 416426225 in words is "four hundred sixteen million, four hundred twenty-six thousand, two hundred twenty-five".