381413760 has 512 divisors, whose sum is σ = 1562803200. Its totient is φ = 76972032.

The previous prime is 381413749. The next prime is 381413833. The reversal of 381413760 is 67314183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6464611 + ... + 6464669.

It is an arithmetic number, because the mean of its divisors is an integer number (3052350).

Almost surely, 2^381413760 is an apocalyptic number.

381413760 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 381413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781401600).

381413760 is an abundant number, since it is smaller than the sum of its proper divisors (1181389440).

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

381413760 is a wasteful number, since it uses less digits than its factorization.

381413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 381413760 is about 19529.8172034456. The cubic root of 381413760 is about 725.2127857384.

The spelling of 381413760 in words is "three hundred eighty-one million, four hundred thirteen thousand, seven hundred sixty".