482378600 has 144 divisors (see below), whose sum is σ = 1274501760. Its totient is φ = 169488000.

The previous prime is 482378591. The next prime is 482378623. The reversal of 482378600 is 6873284.

It is a super-2 number, since 2×482378600² = 465378227475920000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 749879 + ... + 750521.

Almost surely, 2^482378600 is an apocalyptic number.

482378600 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 482378600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637250880).

482378600 is an abundant number, since it is smaller than the sum of its proper divisors (792123160).

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

482378600 is a wasteful number, since it uses less digits than its factorization.

482378600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 482378600 is about 21963.1190863229. The cubic root of 482378600 is about 784.2647178063.

The spelling of 482378600 in words is "four hundred eighty-two million, three hundred seventy-eight thousand, six hundred".