486972000 has 336 divisors, whose sum is σ = 1804656672. Its totient is φ = 129081600.

The previous prime is 486971981. The next prime is 486972001. The reversal of 486972000 is 279684.

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 (486972001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2915917 + ... + 2916083.

It is an arithmetic number, because the mean of its divisors is an integer number (5371002).

Almost surely, 2^486972000 is an apocalyptic number.

486972000 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 486972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902328336).

486972000 is an abundant number, since it is smaller than the sum of its proper divisors (1317684672).

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

486972000 is an equidigital number, since it uses as much as digits as its factorization.

486972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 486972000 is about 22067.4420810388. The cubic root of 486972000 is about 786.7462174971.

The spelling of 486972000 in words is "four hundred eighty-six million, nine hundred seventy-two thousand".