381000480 has 288 divisors, whose sum is σ = 1418933376. Its totient is φ = 85671936.

The previous prime is 381000479. The next prime is 381000493. The reversal of 381000480 is 84000183.

It is a super-2 number, since 2×381000480² = 290322731520460800, which contains 22 as substring.

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 381000480.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2281357 + ... + 2281523.

It is an arithmetic number, because the mean of its divisors is an integer number (4926852).

Almost surely, 2^381000480 is an apocalyptic number.

381000480 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 381000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709466688).

381000480 is an abundant number, since it is smaller than the sum of its proper divisors (1037932896).

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

381000480 is a wasteful number, since it uses less digits than its factorization.

381000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

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

The square root of 381000480 is about 19519.2335915117. The cubic root of 381000480 is about 724.9507568615.

The spelling of 381000480 in words is "three hundred eighty-one million, four hundred eighty", and thus it is an aban number.