485762382000 has 720 divisors, whose sum is σ = 1982206916352. Its totient is φ = 110547763200.

The previous prime is 485762381989. The next prime is 485762382013. The reversal of 485762382000 is 283267584.

485762382000 is a `hidden beast` number, since 48 + 576 + 2 + 38 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 226672929 + ... + 226675071.

Almost surely, 2^485762382000 is an apocalyptic number.

485762382000 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 485762382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991103458176).

485762382000 is an abundant number, since it is smaller than the sum of its proper divisors (1496444534352).

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

485762382000 is a wasteful number, since it uses less digits than its factorization.

485762382000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 485762382000 in words is "four hundred eighty-five billion, seven hundred sixty-two million, three hundred eighty-two thousand".