220595400 has 336 divisors, whose sum is σ = 823356900. Its totient is φ = 54743040.

The previous prime is 220595357. The next prime is 220595429. The reversal of 220595400 is 4595022.

It can be written as a sum of positive squares in 6 ways, for example, as 75585636 + 145009764 = 8694^2 + 12042^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2478556 + ... + 2478644.

Almost surely, 2^220595400 is an apocalyptic number.

220595400 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 220595400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411678450).

220595400 is an abundant number, since it is smaller than the sum of its proper divisors (602761500).

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

220595400 is a wasteful number, since it uses less digits than its factorization.

220595400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 220595400 is about 14852.4543426331. The cubic root of 220595400 is about 604.2251766297.

The spelling of 220595400 in words is "two hundred twenty million, five hundred ninety-five thousand, four hundred".