381262464 has 160 divisors (see below), whose sum is σ = 1238149440. Its totient is φ = 115499520.

The previous prime is 381262463. The next prime is 381262471. The reversal of 381262464 is 464262183.

It is a super-2 number, since 2×381262464² = 290722132910702592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381262463) 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 19 ways as a sum of consecutive naturals, for example, 112377 + ... + 115719.

It is an arithmetic number, because the mean of its divisors is an integer number (7738434).

Almost surely, 2^381262464 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 381262464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619074720).

381262464 is an abundant number, since it is smaller than the sum of its proper divisors (856886976).

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

381262464 is a wasteful number, since it uses less digits than its factorization.

381262464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3359 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 381262464 is about 19525.9433574924. The cubic root of 381262464 is about 725.1168826220.

The spelling of 381262464 in words is "three hundred eighty-one million, two hundred sixty-two thousand, four hundred sixty-four".