405240462225 has 135 divisors (see below), whose sum is σ = 770833193559. Its totient is φ = 203503492800.

The previous prime is 405240462217. The next prime is 405240462227. The reversal of 405240462225 is 522264042504.

The square root of 405240462225 is 636585.

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

405240462225 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 4 + 0 + 4 + 622 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 118396161 + 405122066064 = 10881^2 + 636492^2 .

It is not a de Polignac number, because 405240462225 - 2³ = 405240462217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 405240462225.

It is not an unprimeable number, because it can be changed into a prime (405240462227) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10952444907 + ... + 10952444943.

Almost surely, 2^405240462225 is an apocalyptic number.

405240462225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

405240462225 is the 636585-th square number.

405240462225 is the 318293-rd centered octagonal number.

It is an amenable number.

405240462225 is a deficient number, since it is larger than the sum of its proper divisors (365592731334).

405240462225 is an frugal number, since it uses more digits than its factorization.

405240462225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Multiplying 405240462225 by its sum of digits (36), we get a square (14588656640100 = 3819510²).

The spelling of 405240462225 in words is "four hundred five billion, two hundred forty million, four hundred sixty-two thousand, two hundred twenty-five".