482466400 has 144 divisors (see below), whose sum is σ = 1324227744. Its totient is φ = 170311680.

The previous prime is 482466389. The next prime is 482466401. The reversal of 482466400 is 4664284.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482466401) 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 23 ways as a sum of consecutive naturals, for example, 238192 + ... + 240208.

It is an arithmetic number, because the mean of its divisors is an integer number (9196026).

Almost surely, 2^482466400 is an apocalyptic number.

482466400 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 482466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662113872).

482466400 is an abundant number, since it is smaller than the sum of its proper divisors (841761344).

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

482466400 is a wasteful number, since it uses less digits than its factorization.

482466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 482466400 is about 21965.1178007312. The cubic root of 482466400 is about 784.3122974909.

The spelling of 482466400 in words is "four hundred eighty-two million, four hundred sixty-six thousand, four hundred".