381409140 has 192 divisors, whose sum is σ = 1277337600. Its totient is φ = 84954240.

The previous prime is 381409123. The next prime is 381409169. The reversal of 381409140 is 41904183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 381409098 and 381409107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 884725 + ... + 885155.

It is an arithmetic number, because the mean of its divisors is an integer number (6652800).

Almost surely, 2^381409140 is an apocalyptic number.

381409140 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 381409140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638668800).

381409140 is an abundant number, since it is smaller than the sum of its proper divisors (895928460).

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

381409140 is a wasteful number, since it uses less digits than its factorization.

381409140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 381409140 is about 19529.6989224105. The cubic root of 381409140 is about 725.2098576002.

The spelling of 381409140 in words is "three hundred eighty-one million, four hundred nine thousand, one hundred forty".