400233400 has 96 divisors (see below), whose sum is σ = 1068503040. Its totient is φ = 136575360.

The previous prime is 400233371. The next prime is 400233401. The reversal of 400233400 is 4332004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400233401) 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 23 ways as a sum of consecutive naturals, for example, 367657 + ... + 368743.

It is an arithmetic number, because the mean of its divisors is an integer number (11130240).

Almost surely, 2^400233400 is an apocalyptic number.

400233400 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 400233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534251520).

400233400 is an abundant number, since it is smaller than the sum of its proper divisors (668269640).

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

400233400 is a wasteful number, since it uses less digits than its factorization.

400233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 400233400 is about 20005.8341490676. The cubic root of 400233400 is about 736.9495806888.

Adding to 400233400 its reverse (4332004), we get a palindrome (404565404).

The spelling of 400233400 in words is "four hundred million, two hundred thirty-three thousand, four hundred".