205472322 has 64 divisors (see below), whose sum is σ = 511632000. Its totient is φ = 60575040.

The previous prime is 205472269. The next prime is 205472329. The reversal of 205472322 is 223274502.

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

It is not an unprimeable number, because it can be changed into a prime (205472329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17304 + ... + 26652.

It is an arithmetic number, because the mean of its divisors is an integer number (7994250).

Almost surely, 2^205472322 is an apocalyptic number.

205472322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 205472322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255816000).

205472322 is an abundant number, since it is smaller than the sum of its proper divisors (306159678).

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

205472322 is a wasteful number, since it uses less digits than its factorization.

205472322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9408 (or 9402 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 205472322 is about 14334.3057732141. The cubic root of 205472322 is about 590.0893496780.

The spelling of 205472322 in words is "two hundred five million, four hundred seventy-two thousand, three hundred twenty-two".