985748400 has 960 divisors, whose sum is σ = 4649702400. Its totient is φ = 192430080.

The previous prime is 985748369. The next prime is 985748453. The reversal of 985748400 is 4847589.

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 191 ways as a sum of consecutive naturals, for example, 16707571 + ... + 16707629.

It is an arithmetic number, because the mean of its divisors is an integer number (4843440).

Almost surely, 2^985748400 is an apocalyptic number.

985748400 is a gapful number since it is divisible by the number (90) 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 985748400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324851200).

985748400 is an abundant number, since it is smaller than the sum of its proper divisors (3663954000).

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

985748400 is a wasteful number, since it uses less digits than its factorization.

985748400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 985748400 is about 31396.6303924482. The cubic root of 985748400 is about 995.2267187042.

The spelling of 985748400 in words is "nine hundred eighty-five million, seven hundred forty-eight thousand, four hundred".