900400 has 30 divisors (see below), whose sum is σ = 2164172. Its totient is φ = 360000.

The previous prime is 900397. The next prime is 900409. The reversal of 900400 is 4009.

It is a happy number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (900409) by changing a digit.

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, 726 + ... + 1525.

2⁹⁰⁰⁴⁰⁰ is an apocalyptic number.

It is an amenable number.

900400 is an abundant number, since it is smaller than the sum of its proper divisors (1263772).

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

900400 is a wasteful number, since it uses less digits than its factorization.

900400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 900400 is about 948.8940931421. The cubic root of 900400 is about 96.5632398885.

Adding to 900400 its reverse (4009), we get a palindrome (904409).

It can be divided in two parts, 900 and 400, that multiplied together give a square (360000 = 600²).

The spelling of 900400 in words is "nine hundred thousand, four hundred".