485879688 has 192 divisors, whose sum is σ = 1625184000. Its totient is φ = 133951104.

The previous prime is 485879683. The next prime is 485879689. The reversal of 485879688 is 886978584.

485879688 is a `hidden beast` number, since 48 + 587 + 9 + 6 + 8 + 8 = 666.

It is a super-3 number, since 3×485879688³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (485879683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306145 + ... + 307727.

It is an arithmetic number, because the mean of its divisors is an integer number (8464500).

Almost surely, 2^485879688 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 485879688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812592000).

485879688 is an abundant number, since it is smaller than the sum of its proper divisors (1139304312).

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

485879688 is a wasteful number, since it uses less digits than its factorization.

485879688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1624 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The square root of 485879688 is about 22042.6787845761. The cubic root of 485879688 is about 786.1575349991.

The spelling of 485879688 in words is "four hundred eighty-five million, eight hundred seventy-nine thousand, six hundred eighty-eight".