989094400 has 360 divisors, whose sum is σ = 3036836880. Its totient is φ = 317399040.

The previous prime is 989094371. The next prime is 989094437. The reversal of 989094400 is 4490989.

It is a super-2 number, since 2×989094400² = 1956615464222720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11916759 + ... + 11916841.

It is an arithmetic number, because the mean of its divisors is an integer number (8435658).

Almost surely, 2^989094400 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 989094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518418440).

989094400 is an abundant number, since it is smaller than the sum of its proper divisors (2047742480).

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

989094400 is a wasteful number, since it uses less digits than its factorization.

989094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 989094400 is about 31449.8712239017. The cubic root of 989094400 is about 996.3515046708.

The spelling of 989094400 in words is "nine hundred eighty-nine million, ninety-four thousand, four hundred".