482361600 has 432 divisors, whose sum is σ = 1887740288. Its totient is φ = 106168320.

The previous prime is 482361559. The next prime is 482361613. The reversal of 482361600 is 6163284.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4972752 + ... + 4972848.

Almost surely, 2^482361600 is an apocalyptic number.

482361600 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 482361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943870144).

482361600 is an abundant number, since it is smaller than the sum of its proper divisors (1405378688).

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

482361600 is a wasteful number, since it uses less digits than its factorization.

482361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 482361600 is about 21962.7320704870. The cubic root of 482361600 is about 784.2555046717.

The spelling of 482361600 in words is "four hundred eighty-two million, three hundred sixty-one thousand, six hundred".