400322160 has 240 divisors, whose sum is σ = 1568798400. Its totient is φ = 91445760.

The previous prime is 400322113. The next prime is 400322179. The reversal of 400322160 is 61223004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246150 + ... + 247770.

It is an arithmetic number, because the mean of its divisors is an integer number (6536660).

Almost surely, 2^400322160 is an apocalyptic number.

400322160 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 400322160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784399200).

400322160 is an abundant number, since it is smaller than the sum of its proper divisors (1168476240).

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

400322160 is a wasteful number, since it uses less digits than its factorization.

400322160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 400322160 is about 20008.0523789798. The cubic root of 400322160 is about 737.0040545783.

Adding to 400322160 its reverse (61223004), we get a palindrome (461545164).

The spelling of 400322160 in words is "four hundred million, three hundred twenty-two thousand, one hundred sixty".