204414000516 has 120 divisors (see below), whose sum is σ = 583398801216. Its totient is φ = 61896847680.

The previous prime is 204414000499. The next prime is 204414000517. The reversal of 204414000516 is 615000414402.

204414000516 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 140 + 0 + 0 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 204414000516.

It is not an unprimeable number, because it can be changed into a prime (204414000517) 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, 4851010 + ... + 4892966.

Almost surely, 2^204414000516 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 204414000516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291699400608).

204414000516 is an abundant number, since it is smaller than the sum of its proper divisors (378984800700).

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

204414000516 is a wasteful number, since it uses less digits than its factorization.

204414000516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43351 (or 43340 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 204414000516 its reverse (615000414402), we get a palindrome (819414414918).

The spelling of 204414000516 in words is "two hundred four billion, four hundred fourteen million, five hundred sixteen", and thus it is an aban number.