382365204480 has 1080 divisors, whose sum is σ = 1603629393912. Its totient is φ = 87397761024.

The previous prime is 382365204439. The next prime is 382365204491. The reversal of 382365204480 is 84402563283.

382365204480 is a `hidden beast` number, since 3 + 8 + 2 + 3 + 6 + 520 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 54623600637 + ... + 54623600643.

Almost surely, 2^382365204480 is an apocalyptic number.

382365204480 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 382365204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801814696956).

382365204480 is an abundant number, since it is smaller than the sum of its proper divisors (1221264189432).

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

382365204480 is an frugal number, since it uses more digits than its factorization.

382365204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

382365204480 divided by its product of nonzero digits (1105920) gives a square (345744 = 588²).

The spelling of 382365204480 in words is "three hundred eighty-two billion, three hundred sixty-five million, two hundred four thousand, four hundred eighty".