985506480 has 160 divisors (see below), whose sum is σ = 3879513600. Its totient is φ = 225255168.

The previous prime is 985506469. The next prime is 985506493. The reversal of 985506480 is 84605589.

985506480 is a `hidden beast` number, since 98 + 550 + 6 + 4 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 17470 + ... + 47709.

It is an arithmetic number, because the mean of its divisors is an integer number (24246960).

Almost surely, 2^985506480 is an apocalyptic number.

985506480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

985506480 is an abundant number, since it is smaller than the sum of its proper divisors (2894007120).

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

985506480 is a wasteful number, since it uses less digits than its factorization.

985506480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65208 (or 65196 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 985506480 is about 31392.7775133071. Note that the first 3 decimals coincide. The cubic root of 985506480 is about 995.1452966609.

The spelling of 985506480 in words is "nine hundred eighty-five million, five hundred six thousand, four hundred eighty".