416385025 has 24 divisors (see below), whose sum is σ = 609119744. Its totient is φ = 276307200.

The previous prime is 416385001. The next prime is 416385037. The reversal of 416385025 is 520583614.

It is not a de Polignac number, because 416385025 - 2⁷ = 416384897 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32952 + ... + 43801.

Almost surely, 2^416385025 is an apocalyptic number.

It is an amenable number.

416385025 is a deficient number, since it is larger than the sum of its proper divisors (192734719).

416385025 is a wasteful number, since it uses less digits than its factorization.

416385025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76801 (or 76796 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 416385025 is about 20405.5145732716. The cubic root of 416385025 is about 746.7324664545.

The spelling of 416385025 in words is "four hundred sixteen million, three hundred eighty-five thousand, twenty-five".