405288225 has 48 divisors (see below), whose sum is σ = 746827200. Its totient is φ = 215487360.

The previous prime is 405288223. The next prime is 405288251. The reversal of 405288225 is 522882504.

405288225 is a `hidden beast` number, since 405 + 28 + 8 + 225 = 666.

It is not a de Polignac number, because 405288225 - 2¹ = 405288223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 405288225.

It is not an unprimeable number, because it can be changed into a prime (405288223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282109 + ... + 283541.

It is an arithmetic number, because the mean of its divisors is an integer number (15558900).

Almost surely, 2^405288225 is an apocalyptic number.

405288225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

405288225 is a deficient number, since it is larger than the sum of its proper divisors (341538975).

405288225 is a wasteful number, since it uses less digits than its factorization.

405288225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 405288225 is about 20131.7715315866. The cubic root of 405288225 is about 740.0390927728.

The spelling of 405288225 in words is "four hundred five million, two hundred eighty-eight thousand, two hundred twenty-five".