485751564 has 72 divisors (see below), whose sum is σ = 1264623360. Its totient is φ = 157120992.

The previous prime is 485751529. The next prime is 485751569. The reversal of 485751564 is 465157584.

485751564 is a `hidden beast` number, since 4 + 8 + 575 + 15 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (485751569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257577 + ... + 259455.

Almost surely, 2^485751564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485751564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632311680).

485751564 is an abundant number, since it is smaller than the sum of its proper divisors (778871796).

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

485751564 is a wasteful number, since it uses less digits than its factorization.

485751564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2094 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 485751564 is about 22039.7723218730. The cubic root of 485751564 is about 786.0884270111.

The spelling of 485751564 in words is "four hundred eighty-five million, seven hundred fifty-one thousand, five hundred sixty-four".