220461300 has 54 divisors (see below), whose sum is σ = 691026518. Its totient is φ = 58789440.

The previous prime is 220461299. The next prime is 220461317. The reversal of 220461300 is 3164022.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 116964 + 220344336 = 342^2 + 14844^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 121579 + ... + 123378.

Almost surely, 2^220461300 is an apocalyptic number.

220461300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220461300 is an abundant number, since it is smaller than the sum of its proper divisors (470565218).

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

220461300 is a wasteful number, since it uses less digits than its factorization.

220461300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244977 (or 244967 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 220461300 is about 14847.9392509533. The cubic root of 220461300 is about 604.1027155986.

It can be divided in two parts, 2204 and 61300, that added together give a square (63504 = 252²).

The spelling of 220461300 in words is "two hundred twenty million, four hundred sixty-one thousand, three hundred".