403938900 has 144 divisors (see below), whose sum is σ = 1315332480. Its totient is φ = 107658720.

The previous prime is 403938877. The next prime is 403938901. The reversal of 403938900 is 9839304.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403938901) 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 47 ways as a sum of consecutive naturals, for example, 217777 + ... + 219623.

Almost surely, 2^403938900 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 403938900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657666240).

403938900 is an abundant number, since it is smaller than the sum of its proper divisors (911393580).

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

403938900 is a wasteful number, since it uses less digits than its factorization.

403938900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 403938900 is about 20098.2312654621. The cubic root of 403938900 is about 739.2169096107.

The spelling of 403938900 in words is "four hundred three million, nine hundred thirty-eight thousand, nine hundred".