380557440 has 192 divisors, whose sum is σ = 1363340160. Its totient is φ = 101440512.

The previous prime is 380557433. The next prime is 380557447. The reversal of 380557440 is 44755083.

380557440 is a `hidden beast` number, since 3 + 80 + 5 + 574 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (380557433) and next prime (380557447).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 380557395 and 380557404.

It is not an unprimeable number, because it can be changed into a prime (380557447) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 154297 + ... + 156743.

It is an arithmetic number, because the mean of its divisors is an integer number (7100730).

Almost surely, 2^380557440 is an apocalyptic number.

380557440 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 380557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681670080).

380557440 is an abundant number, since it is smaller than the sum of its proper divisors (982782720).

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

380557440 is an equidigital number, since it uses as much as digits as its factorization.

380557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 380557440 is about 19507.8814841592. The cubic root of 380557440 is about 724.6696489413.

The spelling of 380557440 in words is "three hundred eighty million, five hundred fifty-seven thousand, four hundred forty".