412293025 has 27 divisors (see below), whose sum is σ = 532330419. Its totient is φ = 316758000.

The previous prime is 412293019. The next prime is 412293059. The reversal of 412293025 is 520392214.

The square root of 412293025 is 20305.

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., 148425489 + 263867536 = 12183^2 + 16244^2 .

It is not a de Polignac number, because 412293025 - 2³ = 412293017 is a prime.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 412292984 and 412293002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3147210 + ... + 3147340.

Almost surely, 2^412293025 is an apocalyptic number.

412293025 is the 20305-th square number.

412293025 is the 10153-rd centered octagonal number.

It is an amenable number.

412293025 is a deficient number, since it is larger than the sum of its proper divisors (120037394).

412293025 is an equidigital number, since it uses as much as digits as its factorization.

412293025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The cubic root of 412293025 is about 744.2782524035.

The spelling of 412293025 in words is "four hundred twelve million, two hundred ninety-three thousand, twenty-five".