380845920 has 192 divisors, whose sum is σ = 1476679680. Its totient is φ = 80345088.

The previous prime is 380845909. The next prime is 380845931. The reversal of 380845920 is 29548083.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (380845909) and next prime (380845931).

It is a super-2 number, since 2×380845920² = 290087229561292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39321 + ... + 48039.

It is an arithmetic number, because the mean of its divisors is an integer number (7691040).

Almost surely, 2^380845920 is an apocalyptic number.

380845920 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 380845920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738339840).

380845920 is an abundant number, since it is smaller than the sum of its proper divisors (1095833760).

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

380845920 is a wasteful number, since it uses less digits than its factorization.

380845920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8757 (or 8749 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 380845920 is about 19515.2740180608. The cubic root of 380845920 is about 724.8527136395.

The spelling of 380845920 in words is "three hundred eighty million, eight hundred forty-five thousand, nine hundred twenty".