381810240 has 448 divisors, whose sum is σ = 1580083200. Its totient is φ = 84989952.

The previous prime is 381810227. The next prime is 381810241. The reversal of 381810240 is 42018183.

It is a tau number, because it is divible by the number of its divisors (448).

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 (381810241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3568267 + ... + 3568373.

Almost surely, 2^381810240 is an apocalyptic number.

381810240 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 381810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790041600).

381810240 is an abundant number, since it is smaller than the sum of its proper divisors (1198272960).

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

381810240 is a wasteful number, since it uses less digits than its factorization.

381810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 381810240 is about 19539.9651995596. The cubic root of 381810240 is about 725.4639851993.

The spelling of 381810240 in words is "three hundred eighty-one million, eight hundred ten thousand, two hundred forty".