985776480 has 240 divisors, whose sum is σ = 3747222864. Its totient is φ = 242611200.

The previous prime is 985776479. The next prime is 985776503. The reversal of 985776480 is 84677589.

985776480 is a `hidden beast` number, since 9 + 8 + 577 + 64 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 165555 + ... + 171405.

Almost surely, 2^985776480 is an apocalyptic number.

985776480 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 985776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873611432).

985776480 is an abundant number, since it is smaller than the sum of its proper divisors (2761446384).

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

985776480 is a wasteful number, since it uses less digits than its factorization.

985776480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 985776480 is about 31397.0775710097. The cubic root of 985776480 is about 995.2361686141.

The spelling of 985776480 in words is "nine hundred eighty-five million, seven hundred seventy-six thousand, four hundred eighty".