410387578225 has 27 divisors (see below), whose sum is σ = 525952889409. Its totient is φ = 317642541600.

The previous prime is 410387578213. The next prime is 410387578241. The reversal of 410387578225 is 522875783014.

It is a happy number.

The square root of 410387578225 is 640615.

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 4791823729 + 405595754496 = 69223^2 + 636864^2 .

It is not a de Polignac number, because 410387578225 - 2⁵ = 410387578193 is a prime.

It is a super-2 number, since 2×410387578225² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99293259 + ... + 99297391.

Almost surely, 2^410387578225 is an apocalyptic number.

410387578225 is the 640615-th square number.

410387578225 is the 320308-th centered octagonal number.

It is an amenable number.

410387578225 is a deficient number, since it is larger than the sum of its proper divisors (115565311184).

410387578225 is an frugal number, since it uses more digits than its factorization.

410387578225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8338 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 52.

The spelling of 410387578225 in words is "four hundred ten billion, three hundred eighty-seven million, five hundred seventy-eight thousand, two hundred twenty-five".