380927040 has 224 divisors, whose sum is σ = 1318052736. Its totient is φ = 92651520.

The previous prime is 380927033. The next prime is 380927077. The reversal of 380927040 is 40729083.

It is a junction number, because it is equal to n+sod(n) for n = 380926992 and 380927010.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1634764 + ... + 1634996.

It is an arithmetic number, because the mean of its divisors is an integer number (5884164).

Almost surely, 2^380927040 is an apocalyptic number.

380927040 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 380927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659026368).

380927040 is an abundant number, since it is smaller than the sum of its proper divisors (937125696).

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

380927040 is a wasteful number, since it uses less digits than its factorization.

380927040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 380927040 is about 19517.3522794461. The cubic root of 380927040 is about 724.9041744139.

The spelling of 380927040 in words is "three hundred eighty million, nine hundred twenty-seven thousand, forty".