400433200 has 120 divisors (see below), whose sum is σ = 1017522176. Its totient is φ = 151200000.

The previous prime is 400433171. The next prime is 400433207. The reversal of 400433200 is 2334004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (400433207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 532825 + ... + 533575.

Almost surely, 2^400433200 is an apocalyptic number.

400433200 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 400433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508761088).

400433200 is an abundant number, since it is smaller than the sum of its proper divisors (617088976).

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

400433200 is a wasteful number, since it uses less digits than its factorization.

400433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 832 counting only the distinct ones).

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

The square root of 400433200 is about 20010.8270693642. The cubic root of 400433200 is about 737.0721908387.

Adding to 400433200 its reverse (2334004), we get a palindrome (402767204).

The spelling of 400433200 in words is "four hundred million, four hundred thirty-three thousand, two hundred".