380584512 has 168 divisors, whose sum is σ = 1360212672. Its totient is φ = 98841600.

The previous prime is 380584507. The next prime is 380584513. The reversal of 380584512 is 215485083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (380584513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40062 + ... + 48642.

It is an arithmetic number, because the mean of its divisors is an integer number (8096504).

Almost surely, 2^380584512 is an apocalyptic number.

380584512 is a gapful number since it is divisible by the number (32) 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 380584512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680106336).

380584512 is an abundant number, since it is smaller than the sum of its proper divisors (979628160).

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

380584512 is a wasteful number, since it uses less digits than its factorization.

380584512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8617 (or 8604 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 380584512 is about 19508.5753452168. The cubic root of 380584512 is about 724.6868323233.

The spelling of 380584512 in words is "three hundred eighty million, five hundred eighty-four thousand, five hundred twelve".