380414160 has 120 divisors (see below), whose sum is σ = 1460085120. Its totient is φ = 86950656.

The previous prime is 380414159. The next prime is 380414173. The reversal of 380414160 is 61414083.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 32700 + ... + 42779.

It is an arithmetic number, because the mean of its divisors is an integer number (12167376).

Almost surely, 2^380414160 is an apocalyptic number.

380414160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380414160 is an abundant number, since it is smaller than the sum of its proper divisors (1079670960).

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

380414160 is a wasteful number, since it uses less digits than its factorization.

380414160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75505 (or 75496 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 380414160 is about 19504.2087765692. The cubic root of 380414160 is about 724.5786914056.

The spelling of 380414160 in words is "three hundred eighty million, four hundred fourteen thousand, one hundred sixty".