482946400 has 72 divisors (see below), whose sum is σ = 1190642544. Its totient is φ = 191270400.

The previous prime is 482946383. The next prime is 482946403. The reversal of 482946400 is 4649284.

It is a self number, because there is not a number n which added to its sum of digits gives 482946400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482946403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79470 + ... + 85330.

It is an arithmetic number, because the mean of its divisors is an integer number (16536702).

Almost surely, 2^482946400 is an apocalyptic number.

482946400 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 482946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595321272).

482946400 is an abundant number, since it is smaller than the sum of its proper divisors (707696144).

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

482946400 is a wasteful number, since it uses less digits than its factorization.

482946400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5984 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 482946400 is about 21976.0414997788. The cubic root of 482946400 is about 784.5723122285.

The spelling of 482946400 in words is "four hundred eighty-two million, nine hundred forty-six thousand, four hundred".