204114000 has 80 divisors (see below), whose sum is σ = 658082880. Its totient is φ = 54428800.

The previous prime is 204113993. The next prime is 204114007. The reversal of 204114000 is 411402.

It is an interprime number because it is at equal distance from previous prime (204113993) and next prime (204114007).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204114007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11010 + ... + 23009.

It is an arithmetic number, because the mean of its divisors is an integer number (8226036).

Almost surely, 2^204114000 is an apocalyptic number.

204114000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204114000 is an abundant number, since it is smaller than the sum of its proper divisors (453968880).

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

204114000 is a wasteful number, since it uses less digits than its factorization.

204114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34045 (or 34029 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 204114000 is about 14286.8470979429. The cubic root of 204114000 is about 588.7861667010.

Adding to 204114000 its reverse (411402), we get a palindrome (204525402).

The spelling of 204114000 in words is "two hundred four million, one hundred fourteen thousand".