381480 has 96 divisors (see below), whose sum is σ = 1326240. Its totient is φ = 87040.

The previous prime is 381467. The next prime is 381481. The reversal of 381480 is 84183.

381480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 381480.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 381480.

It is not an unprimeable number, because it can be changed into a prime (381481) by changing a digit.

381480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22432 + ... + 22448.

It is an arithmetic number, because the mean of its divisors is an integer number (13815).

2³⁸¹⁴⁸⁰ is an apocalyptic number.

381480 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 381480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663120).

381480 is an abundant number, since it is smaller than the sum of its proper divisors (944760).

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

381480 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 381480 = (104838)₁₃.

381480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 381480 is about 617.6406722359. The cubic root of 381480 is about 72.5254765795.

It can be divided in two parts, 381 and 480, that added together give a triangular number (861 = T₄₁).

The spelling of 381480 in words is "three hundred eighty-one thousand, four hundred eighty".