381168480 has 192 divisors, whose sum is σ = 1497097728. Its totient is φ = 79196160.

The previous prime is 381168479. The next prime is 381168499. The reversal of 381168480 is 84861183.

381168480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×381168480³ (a number of 27 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 31804 + ... + 42116.

It is an arithmetic number, because the mean of its divisors is an integer number (7797384).

Almost surely, 2^381168480 is an apocalyptic number.

381168480 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 381168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748548864).

381168480 is an abundant number, since it is smaller than the sum of its proper divisors (1115929248).

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

381168480 is a wasteful number, since it uses less digits than its factorization.

381168480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10349 (or 10341 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 381168480 is about 19523.5365648747. The cubic root of 381168480 is about 725.0572955115.

It can be divided in two parts, 381 and 168480, that added together give a palindrome (168861).

The spelling of 381168480 in words is "three hundred eighty-one million, one hundred sixty-eight thousand, four hundred eighty".