1905379840 has 160 divisors (see below), whose sum is σ = 5623390080. Its totient is φ = 602947584.

The previous prime is 1905379811. The next prime is 1905379849. The reversal of 1905379840 is 489735091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (1905379849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228871 + ... + 237049.

It is an arithmetic number, because the mean of its divisors is an integer number (35146188).

Almost surely, 2^1905379840 is an apocalyptic number.

1905379840 is a gapful number since it is divisible by the number (10) 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 1905379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811695040).

1905379840 is an abundant number, since it is smaller than the sum of its proper divisors (3718010240).

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

1905379840 is an equidigital number, since it uses as much as digits as its factorization.

1905379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8222 (or 8206 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 1905379840 is about 43650.6568106369. The cubic root of 1905379840 is about 1239.7302222680.

The spelling of 1905379840 in words is "one billion, nine hundred five million, three hundred seventy-nine thousand, eight hundred forty".