400201100 has 72 divisors (see below), whose sum is σ = 946762320. Its totient is φ = 145946880.

The previous prime is 400201091. The next prime is 400201159. The reversal of 400201100 is 1102004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106046 + ... + 109754.

Almost surely, 2^400201100 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 400201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473381160).

400201100 is an abundant number, since it is smaller than the sum of its proper divisors (546561220).

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

400201100 is a wasteful number, since it uses less digits than its factorization.

400201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 400201100 is about 20005.0268682649. The cubic root of 400201100 is about 736.9297554970.

Adding to 400201100 its reverse (1102004), we get a palindrome (401303104).

The spelling of 400201100 in words is "four hundred million, two hundred one thousand, one hundred".