485676000 has 240 divisors, whose sum is σ = 1783782000. Its totient is φ = 129427200.

The previous prime is 485675999. The next prime is 485676007. The reversal of 485676000 is 676584.

It is a happy number.

485676000 is a `hidden beast` number, since 48 + 5 + 6 + 7 + 600 + 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485676007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323251 + ... + 324749.

It is an arithmetic number, because the mean of its divisors is an integer number (7432425).

Almost surely, 2^485676000 is an apocalyptic number.

485676000 is a gapful number since it is divisible by the number (40) 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 485676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891891000).

485676000 is an abundant number, since it is smaller than the sum of its proper divisors (1298106000).

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

485676000 is a wasteful number, since it uses less digits than its factorization.

485676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 485676000 is about 22038.0579906670. The cubic root of 485676000 is about 786.0476633295.

The spelling of 485676000 in words is "four hundred eighty-five million, six hundred seventy-six thousand".