220458240 has 144 divisors (see below), whose sum is σ = 782443200. Its totient is φ = 58779648.

The previous prime is 220458233. The next prime is 220458241. The reversal of 220458240 is 42854022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220458241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31371 + ... + 37749.

Almost surely, 2^220458240 is an apocalyptic number.

220458240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391221600).

220458240 is an abundant number, since it is smaller than the sum of its proper divisors (561984960).

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

220458240 is an equidigital number, since it uses as much as digits as its factorization.

220458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6409 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 220458240 is about 14847.8362059931. The cubic root of 220458240 is about 604.0999206063.

The spelling of 220458240 in words is "two hundred twenty million, four hundred fifty-eight thousand, two hundred forty".