416364025 has 81 divisors (see below), whose sum is σ = 672836493. Its totient is φ = 254654400.

The previous prime is 416364019. The next prime is 416364029. The reversal of 416364025 is 520463614.

The square root of 416364025 is 20405.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3136441 + 413227584 = 1771^2 + 20328^2 .

It is not a de Polignac number, because 416364025 - 2⁵ = 416363993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416364029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7855899 + ... + 7855951.

Almost surely, 2^416364025 is an apocalyptic number.

416364025 is the 20405-th square number.

416364025 is the 10203-rd centered octagonal number.

It is an amenable number.

416364025 is a deficient number, since it is larger than the sum of its proper divisors (256472468).

416364025 is a wasteful number, since it uses less digits than its factorization.

416364025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The cubic root of 416364025 is about 746.7199126525.

The spelling of 416364025 in words is "four hundred sixteen million, three hundred sixty-four thousand, twenty-five".