890930400 has 288 divisors, whose sum is σ = 3039805440. Its totient is φ = 226437120.

The previous prime is 890930377. The next prime is 890930413. The reversal of 890930400 is 4039098.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7015137 + ... + 7015263.

It is an arithmetic number, because the mean of its divisors is an integer number (10554880).

Almost surely, 2^890930400 is an apocalyptic number.

890930400 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 890930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519902720).

890930400 is an abundant number, since it is smaller than the sum of its proper divisors (2148875040).

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

890930400 is a wasteful number, since it uses less digits than its factorization.

890930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 890930400 is about 29848.4572465647. The cubic root of 890930400 is about 962.2352428593.

Adding to 890930400 its reverse (4039098), we get a palindrome (894969498).

The spelling of 890930400 in words is "eight hundred ninety million, nine hundred thirty thousand, four hundred".