382962468000 has 1536 divisors, whose sum is σ = 1612956893184. Its totient is φ = 77414400000.

The previous prime is 382962467989. The next prime is 382962468013. The reversal of 382962468000 is 864269283.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1814987895 + ... + 1814988105.

It is an arithmetic number, because the mean of its divisors is an integer number (1050102144).

Almost surely, 2^382962468000 is an apocalyptic number.

382962468000 is a gapful number since it is divisible by the number (30) 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 382962468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806478446592).

382962468000 is an abundant number, since it is smaller than the sum of its proper divisors (1229994425184).

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

382962468000 is a wasteful number, since it uses less digits than its factorization.

382962468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 382962468000 in words is "three hundred eighty-two billion, nine hundred sixty-two million, four hundred sixty-eight thousand".