890505408 has 112 divisors (see below), whose sum is σ = 2580802560. Its totient is φ = 269313024.

The previous prime is 890505397. The next prime is 890505409. The reversal of 890505408 is 804505098.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (890505409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144241 + ... + 150287.

It is an arithmetic number, because the mean of its divisors is an integer number (23042880).

Almost surely, 2^890505408 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 890505408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290401280).

890505408 is an abundant number, since it is smaller than the sum of its proper divisors (1690297152).

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

890505408 is a wasteful number, since it uses less digits than its factorization.

890505408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6134 (or 6124 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 890505408 is about 29841.3372354524. The cubic root of 890505408 is about 962.0822165690.

The spelling of 890505408 in words is "eight hundred ninety million, five hundred five thousand, four hundred eight".