400222242 has 64 divisors (see below), whose sum is σ = 1040117760. Its totient is φ = 111685392.

The previous prime is 400222189. The next prime is 400222247. The reversal of 400222242 is 242222004.

400222242 is a `hidden beast` number, since 400 + 2 + 22 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (400222247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3943 + ... + 28565.

It is an arithmetic number, because the mean of its divisors is an integer number (16251840).

Almost surely, 2^400222242 is an apocalyptic number.

400222242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 400222242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520058880).

400222242 is an abundant number, since it is smaller than the sum of its proper divisors (639895518).

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

400222242 is a wasteful number, since it uses less digits than its factorization.

400222242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24684 (or 24678 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 400222242 is about 20005.5552784720. Note that the first 3 decimals coincide. The cubic root of 400222242 is about 736.9427322184.

Adding to 400222242 its reverse (242222004), we get a palindrome (642444246).

It can be divided in two parts, 4002 and 22242, that added together give a square (26244 = 162²).

The spelling of 400222242 in words is "four hundred million, two hundred twenty-two thousand, two hundred forty-two".