381030480 has 200 divisors, whose sum is σ = 1336676352. Its totient is φ = 100590336.

The previous prime is 381030467. The next prime is 381030487. The reversal of 381030480 is 84030183.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381030487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 822729 + ... + 823191.

Almost surely, 2^381030480 is an apocalyptic number.

381030480 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 381030480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668338176).

381030480 is an abundant number, since it is smaller than the sum of its proper divisors (955645872).

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

381030480 is a wasteful number, since it uses less digits than its factorization.

381030480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 600 counting only the distinct ones).

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

The square root of 381030480 is about 19520.0020491802. The cubic root of 381030480 is about 724.9697839171.

The spelling of 381030480 in words is "three hundred eighty-one million, thirty thousand, four hundred eighty".