204945552 has 400 divisors, whose sum is σ = 756201600. Its totient is φ = 52254720.

The previous prime is 204945491. The next prime is 204945583. The reversal of 204945552 is 255549402.

204945552 is a `hidden beast` number, since 20 + 49 + 45 + 552 = 666.

204945552 is digitally balanced in base 3, 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4998652 + ... + 4998692.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 2^204945552 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 204945552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378100800).

204945552 is an abundant number, since it is smaller than the sum of its proper divisors (551256048).

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

204945552 is a wasteful number, since it uses less digits than its factorization.

204945552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 204945552 is about 14315.9195303690. The cubic root of 204945552 is about 589.5846468586.

The spelling of 204945552 in words is "two hundred four million, nine hundred forty-five thousand, five hundred fifty-two".