382420560 has 80 divisors (see below), whose sum is σ = 1197798336. Its totient is φ = 100921344.

The previous prime is 382420547. The next prime is 382420561. The reversal of 382420560 is 65024283.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382420561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15067 + ... + 31493.

Almost surely, 2^382420560 is an apocalyptic number.

382420560 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 382420560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598899168).

382420560 is an abundant number, since it is smaller than the sum of its proper divisors (815377776).

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

382420560 is a wasteful number, since it uses less digits than its factorization.

382420560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16540 (or 16534 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 382420560 is about 19555.5761868578. The cubic root of 382420560 is about 725.8503284869.

The spelling of 382420560 in words is "three hundred eighty-two million, four hundred twenty thousand, five hundred sixty".