400211020 has 96 divisors (see below), whose sum is σ = 957096000. Its totient is φ = 139238400.

The previous prime is 400211011. The next prime is 400211027. The reversal of 400211020 is 20112004.

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

It is a junction number, because it is equal to n+sod(n) for n = 400210988 and 400211006.

It is not an unprimeable number, because it can be changed into a prime (400211027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 950410 + ... + 950830.

It is an arithmetic number, because the mean of its divisors is an integer number (9969750).

Almost surely, 2^400211020 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 400211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478548000).

400211020 is an abundant number, since it is smaller than the sum of its proper divisors (556884980).

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

400211020 is a wasteful number, since it uses less digits than its factorization.

400211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 400211020 is about 20005.2748044110. The cubic root of 400211020 is about 736.9358443381.

Adding to 400211020 its reverse (20112004), we get a palindrome (420323024).

It can be divided in two parts, 40021 and 1020, that added together give a triangular number (41041 = T₂₈₆).

The spelling of 400211020 in words is "four hundred million, two hundred eleven thousand, twenty".