890449290 has 192 divisors, whose sum is σ = 2547417600. Its totient is φ = 214935552.

The previous prime is 890449279. The next prime is 890449303. The reversal of 890449290 is 92944098.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6406041 + ... + 6406179.

It is an arithmetic number, because the mean of its divisors is an integer number (13267800).

Almost surely, 2^890449290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890449290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273708800).

890449290 is an abundant number, since it is smaller than the sum of its proper divisors (1656968310).

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

890449290 is a wasteful number, since it uses less digits than its factorization.

890449290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 890449290 is about 29840.3969477619. The cubic root of 890449290 is about 962.0620065985.

The spelling of 890449290 in words is "eight hundred ninety million, four hundred forty-nine thousand, two hundred ninety".