205114300400 has 60 divisors (see below), whose sum is σ = 497148164112. Its totient is φ = 81319633920.

The previous prime is 205114300381. The next prime is 205114300409. The reversal of 205114300400 is 4003411502.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205114300409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2223764 + ... + 2314163.

Almost surely, 2^205114300400 is an apocalyptic number.

205114300400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205114300400 is an abundant number, since it is smaller than the sum of its proper divisors (292033863712).

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

205114300400 is a wasteful number, since it uses less digits than its factorization.

205114300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4538058 (or 4538047 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 205114300400 its reverse (4003411502), we get a palindrome (209117711902).

The spelling of 205114300400 in words is "two hundred five billion, one hundred fourteen million, three hundred thousand, four hundred".