400203776 has 84 divisors (see below), whose sum is σ = 931963338. Its totient is φ = 171343872.

The previous prime is 400203767. The next prime is 400203847. The reversal of 400203776 is 677302004.

It can be written as a sum of positive squares in only one way, i.e., 274763776 + 125440000 = 16576^2 + 11200^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 400910 + ... + 401906.

Almost surely, 2^400203776 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 400203776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465981669).

400203776 is an abundant number, since it is smaller than the sum of its proper divisors (531759562).

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

400203776 is an frugal number, since it uses more digits than its factorization.

400203776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 400203776 is about 20005.0937513424. The cubic root of 400203776 is about 736.9313980209.

The spelling of 400203776 in words is "four hundred million, two hundred three thousand, seven hundred seventy-six".