400120224 has 96 divisors (see below), whose sum is σ = 1239146496. Its totient is φ = 110626560.

The previous prime is 400120223. The next prime is 400120261. The reversal of 400120224 is 422021004.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (400120223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11229 + ... + 30435.

It is an arithmetic number, because the mean of its divisors is an integer number (12907776).

Almost surely, 2^400120224 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 400120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619573248).

400120224 is an abundant number, since it is smaller than the sum of its proper divisors (839026272).

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

400120224 is a wasteful number, since it uses less digits than its factorization.

400120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19258 (or 19250 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 400120224 is about 20003.0053741931. The cubic root of 400120224 is about 736.8801105009.

Adding to 400120224 its reverse (422021004), we get a palindrome (822141228).

The spelling of 400120224 in words is "four hundred million, one hundred twenty thousand, two hundred twenty-four".