412625025 has 36 divisors (see below), whose sum is σ = 757099980. Its totient is φ = 214694400.

The previous prime is 412625023. The next prime is 412625027. The reversal of 412625025 is 520526214.

412625025 is a `hidden beast` number, since 4 + 12 + 625 + 0 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (412625023) and next prime (412625027).

It can be written as a sum of positive squares in 6 ways, for example, as 31438449 + 381186576 = 5607^2 + 19524^2 .

It is not a de Polignac number, because 412625025 - 2¹ = 412625023 is a prime.

It is a super-2 number, since 2×412625025² = 340518822512501250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 412625025.

It is not an unprimeable number, because it can be changed into a prime (412625023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13140 + ... + 31589.

It is an arithmetic number, because the mean of its divisors is an integer number (21030555).

Almost surely, 2^412625025 is an apocalyptic number.

412625025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

412625025 is a deficient number, since it is larger than the sum of its proper divisors (344474955).

412625025 is a wasteful number, since it uses less digits than its factorization.

412625025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44786 (or 44778 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 412625025 is about 20313.1736811361. The cubic root of 412625025 is about 744.4779761181.

The spelling of 412625025 in words is "four hundred twelve million, six hundred twenty-five thousand, twenty-five".