400000100 has 36 divisors (see below), whose sum is σ = 889180068. Its totient is φ = 156096000.

The previous prime is 400000091. The next prime is 400000109. The reversal of 400000100 is 1000004.

It is an interprime number because it is at equal distance from previous prime (400000091) and next prime (400000109).

It can be written as a sum of positive squares in 6 ways, for example, as 168169024 + 231831076 = 12968^2 + 15226^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (400000109) 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, 44681 + ... + 52880.

Almost surely, 2^400000100 is an apocalyptic number.

It is an amenable number.

400000100 is an abundant number, since it is smaller than the sum of its proper divisors (489179968).

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

400000100 is a wasteful number, since it uses less digits than its factorization.

400000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97616 (or 97609 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 400000100 is about 20000.0024999998. The cubic root of 400000100 is about 736.8063611286.

Adding to 400000100 its reverse (1000004), we get a palindrome (401000104).

The spelling of 400000100 in words is "four hundred million, one hundred", and thus it is an aban number.