985408875 has 192 divisors, whose sum is σ = 2124595200. Its totient is φ = 449064000.

The previous prime is 985408871. The next prime is 985408877. The reversal of 985408875 is 578804589.

985408875 = T₄₄₂ + T₄₄₃ + ... + T₁₈₁₆.

985408875 is a `hidden beast` number, since 98 + 540 + 8 + 8 + 7 + 5 = 666.

It is not a de Polignac number, because 985408875 - 2² = 985408871 is a prime.

It is not an unprimeable number, because it can be changed into a prime (985408871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7759062 + ... + 7759188.

It is an arithmetic number, because the mean of its divisors is an integer number (11065600).

Almost surely, 2^985408875 is an apocalyptic number.

985408875 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

985408875 is an abundant number, since it is smaller than the sum of its proper divisors (1139186325).

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

985408875 is a wasteful number, since it uses less digits than its factorization.

985408875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 985408875 is about 31391.2228974916. Note that the first 3 decimals coincide. The cubic root of 985408875 is about 995.1124423654.

The spelling of 985408875 in words is "nine hundred eighty-five million, four hundred eight thousand, eight hundred seventy-five".