382493826 has 240 divisors, whose sum is σ = 1081449600. Its totient is φ = 100077120.

The previous prime is 382493809. The next prime is 382493843. The reversal of 382493826 is 628394283.

382493826 is a `hidden beast` number, since 3 + 82 + 493 + 82 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (382493809) and next prime (382493843).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4841655 + ... + 4841733.

It is an arithmetic number, because the mean of its divisors is an integer number (4506040).

Almost surely, 2^382493826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382493826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540724800).

382493826 is an abundant number, since it is smaller than the sum of its proper divisors (698955774).

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

382493826 is a wasteful number, since it uses less digits than its factorization.

382493826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 127 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 382493826 is about 19557.4493735763. The cubic root of 382493826 is about 725.8966795115.

The spelling of 382493826 in words is "three hundred eighty-two million, four hundred ninety-three thousand, eight hundred twenty-six".