381024000 has 648 divisors, whose sum is σ = 1653947568. Its totient is φ = 87091200.

The previous prime is 381023983. The next prime is 381024001. The reversal of 381024000 is 420183.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381024001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54431997 + ... + 54432003.

Almost surely, 2^381024000 is an apocalyptic number.

381024000 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 381024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826973784).

381024000 is an abundant number, since it is smaller than the sum of its proper divisors (1272923568).

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

381024000 is an frugal number, since it uses more digits than its factorization.

381024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 381024000 is about 19519.8360648854. The cubic root of 381024000 is about 724.9656741576.

Adding to 381024000 its reverse (420183), we get a palindrome (381444183).

The spelling of 381024000 in words is "three hundred eighty-one million, twenty-four thousand".