400050100 has 36 divisors (see below), whose sum is σ = 873967500. Its totient is φ = 158940160.

The previous prime is 400050061. The next prime is 400050107. The reversal of 400050100 is 1050004.

It can be written as a sum of positive squares in 6 ways, for example, as 84419344 + 315630756 = 9188^2 + 17766^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400050107) 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, 1476 + ... + 28324.

It is an arithmetic number, because the mean of its divisors is an integer number (24276875).

Almost surely, 2^400050100 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 400050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436983750).

400050100 is an abundant number, since it is smaller than the sum of its proper divisors (473917400).

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

400050100 is a wasteful number, since it uses less digits than its factorization.

400050100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27012 (or 27005 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 400050100 is about 20001.2524607835. The cubic root of 400050100 is about 736.8370601069.

The spelling of 400050100 in words is "four hundred million, fifty thousand, one hundred".