400221160 has 64 divisors (see below), whose sum is σ = 970030080. Its totient is φ = 148177920.

The previous prime is 400221139. The next prime is 400221161. The reversal of 400221160 is 61122004.

It is not an unprimeable number, because it can be changed into a prime (400221161) 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, 21504 + ... + 35536.

It is an arithmetic number, because the mean of its divisors is an integer number (15156720).

Almost surely, 2^400221160 is an apocalyptic number.

400221160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400221160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485015040).

400221160 is an abundant number, since it is smaller than the sum of its proper divisors (569808920).

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

400221160 is a wasteful number, since it uses less digits than its factorization.

400221160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14098 (or 14094 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 400221160 is about 20005.5282359652. The cubic root of 400221160 is about 736.9420681101.

Adding to 400221160 its reverse (61122004), we get a palindrome (461343164).

The spelling of 400221160 in words is "four hundred million, two hundred twenty-one thousand, one hundred sixty".