482361000 has 256 divisors, whose sum is σ = 1682104320. Its totient is φ = 114080000.

The previous prime is 482360969. The next prime is 482361017. The reversal of 482361000 is 163284.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 1550845 + ... + 1551155.

It is an arithmetic number, because the mean of its divisors is an integer number (6570720).

Almost surely, 2^482361000 is an apocalyptic number.

482361000 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 482361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841052160).

482361000 is an abundant number, since it is smaller than the sum of its proper divisors (1199743320).

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

482361000 is a wasteful number, since it uses less digits than its factorization.

482361000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 482361000 is about 21962.7184109800. The cubic root of 482361000 is about 784.2551794983.

The spelling of 482361000 in words is "four hundred eighty-two million, three hundred sixty-one thousand".