482679000 has 320 divisors, whose sum is σ = 1732816800. Its totient is φ = 125280000.

The previous prime is 482678971. The next prime is 482679013. The reversal of 482679000 is 976284.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4778950 + ... + 4779050.

Almost surely, 2^482679000 is an apocalyptic number.

482679000 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 482679000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866408400).

482679000 is an abundant number, since it is smaller than the sum of its proper divisors (1250137800).

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

482679000 is a wasteful number, since it uses less digits than its factorization.

482679000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 170 counting only the distinct ones).

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

The square root of 482679000 is about 21969.9567591746. The cubic root of 482679000 is about 784.4274836180.

The spelling of 482679000 in words is "four hundred eighty-two million, six hundred seventy-nine thousand".