482342400 has 360 divisors, whose sum is σ = 1781002080. Its totient is φ = 124600320.

The previous prime is 482342389. The next prime is 482342437. The reversal of 482342400 is 4243284.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6105561 + ... + 6105639.

It is an arithmetic number, because the mean of its divisors is an integer number (4947228).

Almost surely, 2^482342400 is an apocalyptic number.

482342400 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 482342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890501040).

482342400 is an abundant number, since it is smaller than the sum of its proper divisors (1298659680).

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

482342400 is a wasteful number, since it uses less digits than its factorization.

482342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 482342400 is about 21962.2949620480. The cubic root of 482342400 is about 784.2450989889.

Adding to 482342400 its reverse (4243284), we get a palindrome (486585684).

The spelling of 482342400 in words is "four hundred eighty-two million, three hundred forty-two thousand, four hundred".