412416225 has 96 divisors (see below), whose sum is σ = 835640960. Its totient is φ = 198132480.

The previous prime is 412416203. The next prime is 412416227. The reversal of 412416225 is 522614214.

It is not a de Polignac number, because 412416225 - 2⁹ = 412415713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (412416227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 376779 + ... + 377871.

Almost surely, 2^412416225 is an apocalyptic number.

412416225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

412416225 is an abundant number, since it is smaller than the sum of its proper divisors (423224735).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412416225 is a wasteful number, since it uses less digits than its factorization.

412416225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1157 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 412416225 is about 20308.0335089343. The cubic root of 412416225 is about 744.3523792528.

The spelling of 412416225 in words is "four hundred twelve million, four hundred sixteen thousand, two hundred twenty-five".