890450880 has 448 divisors, whose sum is σ = 3302373888. Its totient is φ = 201277440.

The previous prime is 890450879. The next prime is 890450881. The reversal of 890450880 is 88054098.

It is an interprime number because it is at equal distance from previous prime (890450879) and next prime (890450881).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890450881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16800934 + ... + 16800986.

Almost surely, 2^890450880 is an apocalyptic number.

890450880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651186944).

890450880 is an abundant number, since it is smaller than the sum of its proper divisors (2411923008).

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

890450880 is a wasteful number, since it uses less digits than its factorization.

890450880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 890450880 is about 29840.4235894868. The cubic root of 890450880 is about 962.0625792224.

The spelling of 890450880 in words is "eight hundred ninety million, four hundred fifty thousand, eight hundred eighty".