482577200 has 240 divisors, whose sum is σ = 1431813120. Its totient is φ = 152616960.

The previous prime is 482577187. The next prime is 482577209. The reversal of 482577200 is 2775284.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (482577209) 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 47 ways as a sum of consecutive naturals, for example, 2500304 + ... + 2500496.

It is an arithmetic number, because the mean of its divisors is an integer number (5965888).

Almost surely, 2^482577200 is an apocalyptic number.

482577200 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 482577200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715906560).

482577200 is an abundant number, since it is smaller than the sum of its proper divisors (949235920).

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

482577200 is a wasteful number, since it uses less digits than its factorization.

482577200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 482577200 is about 21967.6398368145. The cubic root of 482577200 is about 784.3723328640.

It can be divided in two parts, 4825 and 77200, that multiplied together give a square (372490000 = 19300²).

The spelling of 482577200 in words is "four hundred eighty-two million, five hundred seventy-seven thousand, two hundred".