482258400 has 432 divisors, whose sum is σ = 1801290960. Its totient is φ = 111820800.

The previous prime is 482258393. The next prime is 482258419. The reversal of 482258400 is 4852284.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11762380 + ... + 11762420.

It is an arithmetic number, because the mean of its divisors is an integer number (4169655).

Almost surely, 2^482258400 is an apocalyptic number.

482258400 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 482258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900645480).

482258400 is an abundant number, since it is smaller than the sum of its proper divisors (1319032560).

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

482258400 is a wasteful number, since it uses less digits than its factorization.

482258400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 482258400 is about 21960.3825103298. The cubic root of 482258400 is about 784.1995708794.

The spelling of 482258400 in words is "four hundred eighty-two million, two hundred fifty-eight thousand, four hundred".