400133200 has 30 divisors (see below), whose sum is σ = 961320974. Its totient is φ = 160053120.

The previous prime is 400133191. The next prime is 400133219. The reversal of 400133200 is 2331004.

It can be written as a sum of positive squares in 3 ways, for example, as 21752896 + 378380304 = 4664^2 + 19452^2 .

400133200 is a modest number, since divided by 133200 gives 400 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 499767 + ... + 500566.

Almost surely, 2^400133200 is an apocalyptic number.

400133200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400133200 is an abundant number, since it is smaller than the sum of its proper divisors (561187774).

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

400133200 is a wasteful number, since it uses less digits than its factorization.

400133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000351 (or 1000340 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 400133200 is about 20003.3297228236. The cubic root of 400133200 is about 736.8880761508. Note that the first 3 decimals are identical.

Adding to 400133200 its reverse (2331004), we get a palindrome (402464204).

The spelling of 400133200 in words is "four hundred million, one hundred thirty-three thousand, two hundred".