400200020 has 48 divisors (see below), whose sum is σ = 929771136. Its totient is φ = 143472000.

The previous prime is 400199993. The next prime is 400200041. The reversal of 400200020 is 20002004.

It is a junction number, because it is equal to n+sod(n) for n = 400199980 and 400200007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2810 + ... + 28430.

It is an arithmetic number, because the mean of its divisors is an integer number (19370232).

Almost surely, 2^400200020 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 400200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464885568).

400200020 is an abundant number, since it is smaller than the sum of its proper divisors (529571116).

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

400200020 is a wasteful number, since it uses less digits than its factorization.

400200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25712 (or 25710 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 400200020 is about 20004.9998750312. Note that the first 3 decimals coincide. The cubic root of 400200020 is about 736.9290925929.

Adding to 400200020 its reverse (20002004), we get a palindrome (420202024).

The spelling of 400200020 in words is "four hundred million, two hundred thousand, twenty".