381654240 has 288 divisors, whose sum is σ = 1375532928. Its totient is φ = 88166400.

The previous prime is 381654211. The next prime is 381654257. The reversal of 381654240 is 42456183.

381654240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 8875659 + ... + 8875701.

It is an arithmetic number, because the mean of its divisors is an integer number (4776156).

Almost surely, 2^381654240 is an apocalyptic number.

381654240 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 381654240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687766464).

381654240 is an abundant number, since it is smaller than the sum of its proper divisors (993878688).

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

381654240 is a wasteful number, since it uses less digits than its factorization.

381654240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 381654240 is about 19535.9729729543. The cubic root of 381654240 is about 725.3651683992.

The spelling of 381654240 in words is "three hundred eighty-one million, six hundred fifty-four thousand, two hundred forty".