482364000 has 144 divisors (see below), whose sum is σ = 1712037600. Its totient is φ = 128620800.

The previous prime is 482363953. The next prime is 482364007. The reversal of 482364000 is 463284.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×482364000³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482364007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29301 + ... + 42699.

It is an arithmetic number, because the mean of its divisors is an integer number (11889150).

Almost surely, 2^482364000 is an apocalyptic number.

482364000 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 482364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856018800).

482364000 is an abundant number, since it is smaller than the sum of its proper divisors (1229673600).

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

482364000 is a wasteful number, since it uses less digits than its factorization.

482364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13430 (or 13409 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 482364000 is about 21962.7867084302. The cubic root of 482364000 is about 784.2568053627.

The spelling of 482364000 in words is "four hundred eighty-two million, three hundred sixty-four thousand".