220416440 has 32 divisors (see below), whose sum is σ = 497530080. Its totient is φ = 87883392.

The previous prime is 220416439. The next prime is 220416457. The reversal of 220416440 is 44614022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3989 + ... + 21371.

It is an arithmetic number, because the mean of its divisors is an integer number (15547815).

Almost surely, 2^220416440 is an apocalyptic number.

220416440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220416440 is an abundant number, since it is smaller than the sum of its proper divisors (277113640).

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

220416440 is a wasteful number, since it uses less digits than its factorization.

220416440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17711 (or 17707 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 220416440 is about 14846.4285267535. The cubic root of 220416440 is about 604.0617380571.

The spelling of 220416440 in words is "two hundred twenty million, four hundred sixteen thousand, four hundred forty".