400027100 has 72 divisors (see below), whose sum is σ = 977604096. Its totient is φ = 140760000.

The previous prime is 400027099. The next prime is 400027123. The reversal of 400027100 is 1720004.

It is a happy number.

400027100 is a modest number, since divided by 27100 gives 4000 as remainder.

It is a congruent number.

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, 28235 + ... + 39965.

Almost surely, 2^400027100 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 400027100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488802048).

400027100 is an abundant number, since it is smaller than the sum of its proper divisors (577576996).

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

400027100 is a wasteful number, since it uses less digits than its factorization.

400027100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11787 (or 11780 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 400027100 is about 20000.6774885252. The cubic root of 400027100 is about 736.8229388946.

Adding to 400027100 its reverse (1720004), we get a palindrome (401747104).

The spelling of 400027100 in words is "four hundred million, twenty-seven thousand, one hundred".