380933280 has 960 divisors, whose sum is σ = 1844156160. Its totient is φ = 71663616.

The previous prime is 380933269. The next prime is 380933341. The reversal of 380933280 is 82339083.

It is a super-2 number, since 2×380933280² = 290220327623116800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20049111 + ... + 20049129.

It is an arithmetic number, because the mean of its divisors is an integer number (1920996).

Almost surely, 2^380933280 is an apocalyptic number.

380933280 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 380933280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922078080).

380933280 is an abundant number, since it is smaller than the sum of its proper divisors (1463222880).

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

380933280 is a wasteful number, since it uses less digits than its factorization.

380933280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 380933280 is about 19517.5121365404. The cubic root of 380933280 is about 724.9081326323.

The spelling of 380933280 in words is "three hundred eighty million, nine hundred thirty-three thousand, two hundred eighty".