204251040 has 288 divisors, whose sum is σ = 832156416. Its totient is φ = 44605440.

The previous prime is 204251027. The next prime is 204251051. The reversal of 204251040 is 40152402.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231400 + ... + 232280.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2^204251040 is an apocalyptic number.

204251040 is a gapful number since it is divisible by the number (20) 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 204251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416078208).

204251040 is an abundant number, since it is smaller than the sum of its proper divisors (627905376).

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

204251040 is a wasteful number, since it uses less digits than its factorization.

204251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 204251040 is about 14291.6423129044. The cubic root of 204251040 is about 588.9179055096.

The spelling of 204251040 in words is "two hundred four million, two hundred fifty-one thousand, forty".