482882400 has 864 divisors, whose sum is σ = 2320351488. Its totient is φ = 91238400.

The previous prime is 482882383. The next prime is 482882489. The reversal of 482882400 is 4288284.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7207167 + ... + 7207233.

It is an arithmetic number, because the mean of its divisors is an integer number (2685592).

Almost surely, 2^482882400 is an apocalyptic number.

482882400 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 482882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160175744).

482882400 is an abundant number, since it is smaller than the sum of its proper divisors (1837469088).

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

482882400 is a wasteful number, since it uses less digits than its factorization.

482882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 482882400 is about 21974.5853203195. The cubic root of 482882400 is about 784.5376535541.

The spelling of 482882400 in words is "four hundred eighty-two million, eight hundred eighty-two thousand, four hundred".