400333220 has 48 divisors (see below), whose sum is σ = 965072640. Its totient is φ = 136646784.

The previous prime is 400333159. The next prime is 400333237. The reversal of 400333220 is 22333004.

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, 25817 + ... + 38303.

It is an arithmetic number, because the mean of its divisors is an integer number (20105680).

Almost surely, 2^400333220 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 400333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482536320).

400333220 is an abundant number, since it is smaller than the sum of its proper divisors (564739420).

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

400333220 is a wasteful number, since it uses less digits than its factorization.

400333220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12732 (or 12730 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 400333220 is about 20008.3287657915. The cubic root of 400333220 is about 737.0108417700.

Adding to 400333220 its reverse (22333004), we get a palindrome (422666224).

The spelling of 400333220 in words is "four hundred million, three hundred thirty-three thousand, two hundred twenty".