205449972 has 96 divisors (see below), whose sum is σ = 602714112. Its totient is φ = 53018496.

The previous prime is 205449971. The next prime is 205449973. The reversal of 205449972 is 279944502.

It is an interprime number because it is at equal distance from previous prime (205449971) and next prime (205449973).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205449971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49323 + ... + 53325.

It is an arithmetic number, because the mean of its divisors is an integer number (6278272).

Almost surely, 2^205449972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205449972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301357056).

205449972 is an abundant number, since it is smaller than the sum of its proper divisors (397264140).

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

205449972 is a wasteful number, since it uses less digits than its factorization.

205449972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 205449972 is about 14333.5261537418. The cubic root of 205449972 is about 590.0679534869.

The spelling of 205449972 in words is "two hundred five million, four hundred forty-nine thousand, nine hundred seventy-two".