400205500 has 96 divisors (see below), whose sum is σ = 934053120. Its totient is φ = 149273600.

The previous prime is 400205479. The next prime is 400205549. The reversal of 400205500 is 5502004.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1674381 + ... + 1674619.

It is an arithmetic number, because the mean of its divisors is an integer number (9729720).

Almost surely, 2^400205500 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 400205500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467026560).

400205500 is an abundant number, since it is smaller than the sum of its proper divisors (533847620).

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

400205500 is a wasteful number, since it uses less digits than its factorization.

400205500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 400205500 is about 20005.1368403218. The cubic root of 400205500 is about 736.9324562051.

Adding to 400205500 its reverse (5502004), we get a palindrome (405707504).

The spelling of 400205500 in words is "four hundred million, two hundred five thousand, five hundred".