482265388800 has 324 divisors, whose sum is σ = 1856841847224. Its totient is φ = 118711296000.

The previous prime is 482265388799. The next prime is 482265388831. The reversal of 482265388800 is 8883562284.

482265388800 is a `hidden beast` number, since 4 + 8 + 2 + 26 + 538 + 8 + 80 + 0 = 666.

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, 426775 + ... + 1070825.

Almost surely, 2^482265388800 is an apocalyptic number.

482265388800 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 482265388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928420923612).

482265388800 is an abundant number, since it is smaller than the sum of its proper divisors (1374576458424).

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

482265388800 is a wasteful number, since it uses less digits than its factorization.

482265388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644096 (or 644074 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 482265388800 in words is "four hundred eighty-two billion, two hundred sixty-five million, three hundred eighty-eight thousand, eight hundred".