220725408 has 48 divisors (see below), whose sum is σ = 581345856. Its totient is φ = 73328640.

The previous prime is 220725391. The next prime is 220725419. The reversal of 220725408 is 804527022.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26160 + ... + 33552.

It is an arithmetic number, because the mean of its divisors is an integer number (12111372).

Almost surely, 2^220725408 is an apocalyptic number.

It is an amenable number.

220725408 is an abundant number, since it is smaller than the sum of its proper divisors (360620448).

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

220725408 is a wasteful number, since it uses less digits than its factorization.

220725408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7717 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 220725408 is about 14856.8303483617. The cubic root of 220725408 is about 604.3438534468.

The spelling of 220725408 in words is "two hundred twenty million, seven hundred twenty-five thousand, four hundred eight".