415956025 has 9 divisors (see below), whose sum is σ = 515911951. Its totient is φ = 332683240.

The previous prime is 415955993. The next prime is 415956041. The reversal of 415956025 is 520659514.

The square root of 415956025 is 20395.

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

It can be written as a sum of positive squares in only one way, i.e., 149744169 + 266211856 = 12237^2 + 16316^2 .

It is not a de Polignac number, because 415956025 - 2⁵ = 415955993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 99936 + ... + 104014.

Almost surely, 2^415956025 is an apocalyptic number.

415956025 is the 20395-th square number.

415956025 is the 10198-th centered octagonal number.

It is an amenable number.

415956025 is a deficient number, since it is larger than the sum of its proper divisors (99955926).

415956025 is an frugal number, since it uses more digits than its factorization.

415956025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8168 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The cubic root of 415956025 is about 746.4759264016.

The spelling of 415956025 in words is "four hundred fifteen million, nine hundred fifty-six thousand, twenty-five".