381575040 has 512 divisors, whose sum is σ = 1586304000. Its totient is φ = 75694080.

The previous prime is 381575027. The next prime is 381575041. The reversal of 381575040 is 40575183.

It is a super-2 number, since 2×381575040² = 291199022302003200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 381574992 and 381575010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381575041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4287316 + ... + 4287404.

It is an arithmetic number, because the mean of its divisors is an integer number (3098250).

Almost surely, 2^381575040 is an apocalyptic number.

381575040 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 381575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793152000).

381575040 is an abundant number, since it is smaller than the sum of its proper divisors (1204728960).

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

381575040 is a wasteful number, since it uses less digits than its factorization.

381575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 381575040 is about 19533.9458379509. The cubic root of 381575040 is about 725.3149895640.

The spelling of 381575040 in words is "three hundred eighty-one million, five hundred seventy-five thousand, forty".