220298400 has 576 divisors, whose sum is σ = 959938560. Its totient is φ = 47692800.

The previous prime is 220298387. The next prime is 220298497. The reversal of 220298400 is 4892022.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4687177 + ... + 4687223.

It is an arithmetic number, because the mean of its divisors is an integer number (1666560).

Almost surely, 2^220298400 is an apocalyptic number.

220298400 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 220298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

220298400 is an abundant number, since it is smaller than the sum of its proper divisors (739640160).

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

220298400 is a wasteful number, since it uses less digits than its factorization.

220298400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 220298400 is about 14842.4526275141. The cubic root of 220298400 is about 603.9538873908.

The spelling of 220298400 in words is "two hundred twenty million, two hundred ninety-eight thousand, four hundred".