925284000 has 192 divisors, whose sum is σ = 3071053440. Its totient is φ = 243507200.

The previous prime is 925283993. The next prime is 925284011. The reversal of 925284000 is 482529.

925284000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995536 + ... + 996464.

It is an arithmetic number, because the mean of its divisors is an integer number (15995070).

Almost surely, 2^925284000 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 925284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535526720).

925284000 is an abundant number, since it is smaller than the sum of its proper divisors (2145769440).

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

925284000 is a wasteful number, since it uses less digits than its factorization.

925284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 925284000 is about 30418.4812244136. The cubic root of 925284000 is about 974.4472869974.

The spelling of 925284000 in words is "nine hundred twenty-five million, two hundred eighty-four thousand".