400226120 has 128 divisors (see below), whose sum is σ = 1085184000. Its totient is φ = 132652800.

The previous prime is 400226119. The next prime is 400226201. The reversal of 400226120 is 21622004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424850 + ... + 425790.

It is an arithmetic number, because the mean of its divisors is an integer number (8478000).

Almost surely, 2^400226120 is an apocalyptic number.

400226120 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 400226120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542592000).

400226120 is an abundant number, since it is smaller than the sum of its proper divisors (684957880).

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

400226120 is a wasteful number, since it uses less digits than its factorization.

400226120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 400226120 is about 20005.6522013155. The cubic root of 400226120 is about 736.9451124415.

Adding to 400226120 its reverse (21622004), we get a palindrome (421848124).

The spelling of 400226120 in words is "four hundred million, two hundred twenty-six thousand, one hundred twenty".