382745920 has 56 divisors (see below), whose sum is σ = 913403304. Its totient is φ = 152764416.

The previous prime is 382745917. The next prime is 382745929. The reversal of 382745920 is 29547283.

It can be written as a sum of positive squares in 4 ways, for example, as 111682624 + 271063296 = 10568^2 + 16464^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382745929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188752 + ... + 190768.

Almost surely, 2^382745920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456701652).

382745920 is an abundant number, since it is smaller than the sum of its proper divisors (530657384).

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

382745920 is a wasteful number, since it uses less digits than its factorization.

382745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 382745920 is about 19563.8932730681. The cubic root of 382745920 is about 726.0561191305.

The spelling of 382745920 in words is "three hundred eighty-two million, seven hundred forty-five thousand, nine hundred twenty".