220408825 has 96 divisors (see below), whose sum is σ = 367476480. Its totient is φ = 127180800.

The previous prime is 220408819. The next prime is 220408829. The reversal of 220408825 is 528804022.

It is not a de Polignac number, because 220408825 - 2⁹ = 220408313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220408829) 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, 1585606 + ... + 1585744.

It is an arithmetic number, because the mean of its divisors is an integer number (3827880).

Almost surely, 2^220408825 is an apocalyptic number.

220408825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

220408825 is a deficient number, since it is larger than the sum of its proper divisors (147067655).

220408825 is a wasteful number, since it uses less digits than its factorization.

220408825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 220408825 is about 14846.1720655528. The cubic root of 220408825 is about 604.0547815538.

The spelling of 220408825 in words is "two hundred twenty million, four hundred eight thousand, eight hundred twenty-five".