382351020480 has 1344 divisors, whose sum is σ = 1643172410880. Its totient is φ = 80223436800.

The previous prime is 382351020473. The next prime is 382351020481. The reversal of 382351020480 is 84020153283.

382351020480 is a `hidden beast` number, since 3 + 82 + 3 + 510 + 20 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382351020481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1025069574 + ... + 1025069946.

It is an arithmetic number, because the mean of its divisors is an integer number (1222598520).

Almost surely, 2^382351020480 is an apocalyptic number.

382351020480 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 382351020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821586205440).

382351020480 is an abundant number, since it is smaller than the sum of its proper divisors (1260821390400).

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

382351020480 is a wasteful number, since it uses less digits than its factorization.

382351020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 382351020480 in words is "three hundred eighty-two billion, three hundred fifty-one million, twenty thousand, four hundred eighty".