920491000 has 256 divisors, whose sum is σ = 2608744320. Its totient is φ = 299520000.

The previous prime is 920490979. The next prime is 920491003. The reversal of 920491000 is 194029.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920491003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5862922 + ... + 5863078.

Almost surely, 2^920491000 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 920491000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304372160).

920491000 is an abundant number, since it is smaller than the sum of its proper divisors (1688253320).

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

920491000 is a wasteful number, since it uses less digits than its factorization.

920491000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 920491000 is about 30339.5945918860. The cubic root of 920491000 is about 972.7618175902.

The spelling of 920491000 in words is "nine hundred twenty million, four hundred ninety-one thousand".