920496000 has 256 divisors, whose sum is σ = 3095838720. Its totient is φ = 241920000.

The previous prime is 920495981. The next prime is 920496001. The reversal of 920496000 is 694029.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920496001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6095925 + ... + 6096075.

It is an arithmetic number, because the mean of its divisors is an integer number (12093120).

Almost surely, 2^920496000 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 920496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547919360).

920496000 is an abundant number, since it is smaller than the sum of its proper divisors (2175342720).

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

920496000 is a wasteful number, since it uses less digits than its factorization.

920496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 920496000 is about 30339.6769923478. The cubic root of 920496000 is about 972.7635788967.

The spelling of 920496000 in words is "nine hundred twenty million, four hundred ninety-six thousand".