400126160 has 120 divisors (see below), whose sum is σ = 1093787136. Its totient is φ = 135717120.

The previous prime is 400126123. The next prime is 400126163. The reversal of 400126160 is 61621004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400126163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403265 + ... + 404255.

Almost surely, 2^400126160 is an apocalyptic number.

400126160 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 400126160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546893568).

400126160 is an abundant number, since it is smaller than the sum of its proper divisors (693660976).

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

400126160 is a wasteful number, since it uses less digits than its factorization.

400126160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 400126160 is about 20003.1537513463. The cubic root of 400126160 is about 736.8837544879.

Adding to 400126160 its reverse (61621004), we get a palindrome (461747164).

The spelling of 400126160 in words is "four hundred million, one hundred twenty-six thousand, one hundred sixty".