992400 has 60 divisors (see below), whose sum is σ = 3182832. Its totient is φ = 264320.

The previous prime is 992393. The next prime is 992417. The reversal of 992400 is 4299.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 992400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 787 + ... + 1613.

2⁹⁹²⁴⁰⁰ 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 992400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591416).

992400 is an abundant number, since it is smaller than the sum of its proper divisors (2190432).

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

992400 is a wasteful number, since it uses less digits than its factorization.

992400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 992400 is about 996.1927524330. The cubic root of 992400 is about 99.7460221654.

Adding to 992400 its reverse (4299), we get a palindrome (996699).

The spelling of 992400 in words is "nine hundred ninety-two thousand, four hundred".