381662440 has 64 divisors (see below), whose sum is σ = 883386000. Its totient is φ = 148316160.

The previous prime is 381662423. The next prime is 381662441. The reversal of 381662440 is 44266183.

It can be written as a sum of positive squares in 8 ways, for example, as 85340644 + 296321796 = 9238^2 + 17214^2 .

It is a junction number, because it is equal to n+sod(n) for n = 381662396 and 381662405.

It is not an unprimeable number, because it can be changed into a prime (381662441) 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, 670476 + ... + 671044.

Almost surely, 2^381662440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381662440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441693000).

381662440 is an abundant number, since it is smaller than the sum of its proper divisors (501723560).

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

381662440 is a wasteful number, since it uses less digits than its factorization.

381662440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 381662440 is about 19536.1828410772. The cubic root of 381662440 is about 725.3703632861.

The spelling of 381662440 in words is "three hundred eighty-one million, six hundred sixty-two thousand, four hundred forty".