482958000 has 240 divisors, whose sum is σ = 1928287296. Its totient is φ = 110361600.

The previous prime is 482957987. The next prime is 482958001. The reversal of 482958000 is 859284.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (482958001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124084 + ... + 127916.

Almost surely, 2^482958000 is an apocalyptic number.

482958000 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 482958000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964143648).

482958000 is an abundant number, since it is smaller than the sum of its proper divisors (1445329296).

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

482958000 is a wasteful number, since it uses less digits than its factorization.

482958000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 482958000 is about 21976.3054219766. The cubic root of 482958000 is about 784.5785937855.

The spelling of 482958000 in words is "four hundred eighty-two million, nine hundred fifty-eight thousand".