400133804 has 36 divisors (see below), whose sum is σ = 819131040. Its totient is φ = 170523360.

The previous prime is 400133803. The next prime is 400133813. The reversal of 400133804 is 408331004.

It is a super-2 number, since 2×400133804² = 320214122207020832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400133804.

It is not an unprimeable number, because it can be changed into a prime (400133803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 29837 + ... + 41115.

It is an arithmetic number, because the mean of its divisors is an integer number (22753640).

Almost surely, 2^400133804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400133804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409565520).

400133804 is an abundant number, since it is smaller than the sum of its proper divisors (418997236).

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

400133804 is a wasteful number, since it uses less digits than its factorization.

400133804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11478 (or 11469 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 400133804 is about 20003.3448203044. The cubic root of 400133804 is about 736.8884469275. Note that the first 3 decimals are identical.

Adding to 400133804 its reverse (408331004), we get a palindrome (808464808).

The spelling of 400133804 in words is "four hundred million, one hundred thirty-three thousand, eight hundred four".