486268000 has 96 divisors (see below), whose sum is σ = 1265217408. Its totient is φ = 183040000.

The previous prime is 486267979. The next prime is 486268019. The reversal of 486268000 is 862684.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64425 + ... + 71575.

It is an arithmetic number, because the mean of its divisors is an integer number (13179348).

Almost surely, 2^486268000 is an apocalyptic number.

486268000 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 486268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632608704).

486268000 is an abundant number, since it is smaller than the sum of its proper divisors (778949408).

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

486268000 is a wasteful number, since it uses less digits than its factorization.

486268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7193 (or 7175 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 486268000 is about 22051.4852107517. The cubic root of 486268000 is about 786.3669099561.

The spelling of 486268000 in words is "four hundred eighty-six million, two hundred sixty-eight thousand".