920396800 has 132 divisors (see below), whose sum is σ = 2306027380. Its totient is φ = 364216320.

The previous prime is 920396797. The next prime is 920396801. The reversal of 920396800 is 8693029.

It can be written as a sum of positive squares in 6 ways, for example, as 123904 + 920272896 = 352^2 + 30336^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 920396800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920396801) 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 11 ways as a sum of consecutive naturals, for example, 4019086 + ... + 4019314.

Almost surely, 2^920396800 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 920396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153013690).

920396800 is an abundant number, since it is smaller than the sum of its proper divisors (1385630580).

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

920396800 is a wasteful number, since it uses less digits than its factorization.

920396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 920396800 is about 30338.0421253581. The cubic root of 920396800 is about 972.7286333841.

The spelling of 920396800 in words is "nine hundred twenty million, three hundred ninety-six thousand, eight hundred".