400606220 has 48 divisors (see below), whose sum is σ = 965659968. Its totient is φ = 136750080.

The previous prime is 400606187. The next prime is 400606231. The reversal of 400606220 is 22606004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 400606192 and 400606201.

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, 26480 + ... + 38760.

It is an arithmetic number, because the mean of its divisors is an integer number (20117916).

Almost surely, 2^400606220 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 400606220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482829984).

400606220 is an abundant number, since it is smaller than the sum of its proper divisors (565053748).

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

400606220 is a wasteful number, since it uses less digits than its factorization.

400606220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12530 (or 12528 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 400606220 is about 20015.1497621177. The cubic root of 400606220 is about 737.1783341083.

The spelling of 400606220 in words is "four hundred million, six hundred six thousand, two hundred twenty".