482708010400 has 864 divisors, whose sum is σ = 1579938877440. Its totient is φ = 140637235200.

The previous prime is 482708010319. The next prime is 482708010437. The reversal of 482708010400 is 4010807284.

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, 732485271 + ... + 732485929.

It is an arithmetic number, because the mean of its divisors is an integer number (1828632960).

Almost surely, 2^482708010400 is an apocalyptic number.

482708010400 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 482708010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789969438720).

482708010400 is an abundant number, since it is smaller than the sum of its proper divisors (1097230867040).

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

482708010400 is a wasteful number, since it uses less digits than its factorization.

482708010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

Adding to 482708010400 its reverse (4010807284), we get a palindrome (486718817684).

The spelling of 482708010400 in words is "four hundred eighty-two billion, seven hundred eight million, ten thousand, four hundred".