482766950400 has 312 divisors, whose sum is σ = 1824184714944. Its totient is φ = 110346240000.

The previous prime is 482766950389. The next prime is 482766950431. The reversal of 482766950400 is 4059667284.

It is an unprimeable number.

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, 2038150 + ... + 2262650.

Almost surely, 2^482766950400 is an apocalyptic number.

482766950400 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 482766950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912092357472).

482766950400 is an abundant number, since it is smaller than the sum of its proper divisors (1341417764544).

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

482766950400 is a wasteful number, since it uses less digits than its factorization.

482766950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224545 (or 224518 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 482766950400 in words is "four hundred eighty-two billion, seven hundred sixty-six million, nine hundred fifty thousand, four hundred".