985501440 has 648 divisors, whose sum is σ = 4325709024. Its totient is φ = 202752000.

The previous prime is 985501427. The next prime is 985501457. The reversal of 985501440 is 44105589.

985501440 is a `hidden beast` number, since 98 + 550 + 14 + 4 + 0 = 666.

985501440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 985501395 and 985501404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9757390 + ... + 9757490.

Almost surely, 2^985501440 is an apocalyptic number.

985501440 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 985501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162854512).

985501440 is an abundant number, since it is smaller than the sum of its proper divisors (3340207584).

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

985501440 is a wasteful number, since it uses less digits than its factorization.

985501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 985501440 is about 31392.6972399633. The cubic root of 985501440 is about 995.1436002267.

The spelling of 985501440 in words is "nine hundred eighty-five million, five hundred one thousand, four hundred forty".