400203424 has 48 divisors (see below), whose sum is σ = 812724192. Its totient is φ = 193892608.

The previous prime is 400203407. The next prime is 400203437. The reversal of 400203424 is 424302004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139347 + ... + 142189.

It is an arithmetic number, because the mean of its divisors is an integer number (16931754).

Almost surely, 2^400203424 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 400203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406362096).

400203424 is an abundant number, since it is smaller than the sum of its proper divisors (412520768).

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

400203424 is a wasteful number, since it uses less digits than its factorization.

400203424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 400203424 is about 20005.0849535812. The cubic root of 400203424 is about 736.9311819644.

Adding to 400203424 its reverse (424302004), we get a palindrome (824505428).

The spelling of 400203424 in words is "four hundred million, two hundred three thousand, four hundred twenty-four".