482193600 has 336 divisors, whose sum is σ = 1838358528. Its totient is φ = 108380160.

The previous prime is 482193587. The next prime is 482193617. The reversal of 482193600 is 6391284.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3796737 + ... + 3796863.

Almost surely, 2^482193600 is an apocalyptic number.

482193600 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 482193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919179264).

482193600 is an abundant number, since it is smaller than the sum of its proper divisors (1356164928).

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

482193600 is a wasteful number, since it uses less digits than its factorization.

482193600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 482193600 is about 21958.9070766284. The cubic root of 482193600 is about 784.1644455825.

The spelling of 482193600 in words is "four hundred eighty-two million, one hundred ninety-three thousand, six hundred".