482619200 has 168 divisors, whose sum is σ = 1391619264. Its totient is φ = 161280000.

The previous prime is 482619199. The next prime is 482619211. The reversal of 482619200 is 2916284.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458675 + ... + 459725.

It is an arithmetic number, because the mean of its divisors is an integer number (8283448).

Almost surely, 2^482619200 is an apocalyptic number.

482619200 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 482619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695809632).

482619200 is an abundant number, since it is smaller than the sum of its proper divisors (909000064).

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

482619200 is a wasteful number, since it uses less digits than its factorization.

482619200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 482619200 is about 21968.5957675952. The cubic root of 482619200 is about 784.3950875529.

The spelling of 482619200 in words is "four hundred eighty-two million, six hundred nineteen thousand, two hundred".