381354240 has 144 divisors (see below), whose sum is σ = 1244452608. Its totient is φ = 99483648.

The previous prime is 381354221. The next prime is 381354241. The reversal of 381354240 is 42453183.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 381354198 and 381354207.

It is not an unprimeable number, because it can be changed into a prime (381354241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179424 + ... + 181536.

It is an arithmetic number, because the mean of its divisors is an integer number (8642032).

Almost surely, 2^381354240 is an apocalyptic number.

381354240 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 381354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622226304).

381354240 is an abundant number, since it is smaller than the sum of its proper divisors (863098368).

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

381354240 is a wasteful number, since it uses less digits than its factorization.

381354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 381354240 is about 19528.2933202059. The cubic root of 381354240 is about 725.1750603816.

The spelling of 381354240 in words is "three hundred eighty-one million, three hundred fifty-four thousand, two hundred forty".