205472652 has 96 divisors (see below), whose sum is σ = 606842880. Its totient is φ = 52557120.

The previous prime is 205472647. The next prime is 205472699. The reversal of 205472652 is 256274502.

205472652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60249 + ... + 63567.

It is an arithmetic number, because the mean of its divisors is an integer number (6321280).

Almost surely, 2^205472652 is an apocalyptic number.

205472652 is a gapful number since it is divisible by the number (22) 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 205472652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303421440).

205472652 is an abundant number, since it is smaller than the sum of its proper divisors (401370228).

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

205472652 is a wasteful number, since it uses less digits than its factorization.

205472652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 205472652 is about 14334.3172840565. The cubic root of 205472652 is about 590.0896655833.

The spelling of 205472652 in words is "two hundred five million, four hundred seventy-two thousand, six hundred fifty-two".