204265152 has 280 divisors, whose sum is σ = 746959136. Its totient is φ = 53747712.

The previous prime is 204265129. The next prime is 204265153. The reversal of 204265152 is 251562402.

204265152 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 651 + 5 + 2 = 666.

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 (204265153) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 471528 + ... + 471960.

Almost surely, 2^204265152 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 204265152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373479568).

204265152 is an abundant number, since it is smaller than the sum of its proper divisors (542693984).

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

204265152 is a wasteful number, since it uses less digits than its factorization.

204265152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 204265152 is about 14292.1360195039. The cubic root of 204265152 is about 588.9314682607.

It can be divided in two parts, 204 and 265152, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 204265152 in words is "two hundred four million, two hundred sixty-five thousand, one hundred fifty-two".