890505000 has 480 divisors, whose sum is σ = 3772042560. Its totient is φ = 184320000.

The previous prime is 890504971. The next prime is 890505013. The reversal of 890505000 is 505098.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 3464872 + ... + 3465128.

It is an arithmetic number, because the mean of its divisors is an integer number (7858422).

Almost surely, 2^890505000 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 890505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886021280).

890505000 is an abundant number, since it is smaller than the sum of its proper divisors (2881537560).

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

890505000 is a wasteful number, since it uses less digits than its factorization.

890505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 890505000 is about 29841.3303992969. The cubic root of 890505000 is about 962.0820696376.

The spelling of 890505000 in words is "eight hundred ninety million, five hundred five thousand".