985729500 has 576 divisors, whose sum is σ = 3943080960. Its totient is φ = 209952000.

The previous prime is 985729499. The next prime is 985729529. The reversal of 985729500 is 5927589.

It is a happy number.

985729500 is a `hidden beast` number, since 98 + 57 + 2 + 9 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 16159470 + ... + 16159530.

Almost surely, 2^985729500 is an apocalyptic number.

985729500 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 985729500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971540480).

985729500 is an abundant number, since it is smaller than the sum of its proper divisors (2957351460).

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

985729500 is a wasteful number, since it uses less digits than its factorization.

985729500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 985729500 is about 31396.3294032917. The cubic root of 985729500 is about 995.2203580868.

The spelling of 985729500 in words is "nine hundred eighty-five million, seven hundred twenty-nine thousand, five hundred".