382354560 has 512 divisors, whose sum is σ = 1615680000. Its totient is φ = 83607552.

The previous prime is 382354519. The next prime is 382354579. The reversal of 382354560 is 65453283.

It is a happy number.

382354560 is a `hidden beast` number, since 38 + 23 + 545 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3507786 + ... + 3507894.

It is an arithmetic number, because the mean of its divisors is an integer number (3155625).

Almost surely, 2^382354560 is an apocalyptic number.

382354560 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 382354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807840000).

382354560 is an abundant number, since it is smaller than the sum of its proper divisors (1233325440).

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

382354560 is a wasteful number, since it uses less digits than its factorization.

382354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 382354560 is about 19553.8886158227. Note that the first 3 decimals coincide. The cubic root of 382354560 is about 725.8085691580.

The spelling of 382354560 in words is "three hundred eighty-two million, three hundred fifty-four thousand, five hundred sixty".