926400 has 84 divisors (see below), whose sum is σ = 3055112. Its totient is φ = 245760.

The previous prime is 926399. The next prime is 926411. The reversal of 926400 is 4629.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 926400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4704 + ... + 4896.

2⁹²⁶⁴⁰⁰ 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 926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527556).

926400 is an abundant number, since it is smaller than the sum of its proper divisors (2128712).

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

926400 is a wasteful number, since it uses less digits than its factorization.

926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 926400 is about 962.4967532413. The cubic root of 926400 is about 97.4838895143.

It can be divided in two parts, 926 and 400, that added together give a triangular number (1326 = T₅₁).

The spelling of 926400 in words is "nine hundred twenty-six thousand, four hundred".