1905390648 has 128 divisors (see below), whose sum is σ = 6134400000. Its totient is φ = 536699520.

The previous prime is 1905390647. The next prime is 1905390649. The reversal of 1905390648 is 8460935091.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1905390647) and next prime (1905390649).

It is a super-3 number, since 3×1905390648³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1905390647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98478 + ... + 116226.

It is an arithmetic number, because the mean of its divisors is an integer number (47925000).

Almost surely, 2^1905390648 is an apocalyptic number.

1905390648 is a gapful number since it is divisible by the number (18) 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 1905390648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067200000).

1905390648 is an abundant number, since it is smaller than the sum of its proper divisors (4229009352).

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

1905390648 is a wasteful number, since it uses less digits than its factorization.

1905390648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17842 (or 17832 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1905390648 is about 43650.7806115767. The cubic root of 1905390648 is about 1239.7325663289.

The spelling of 1905390648 in words is "one billion, nine hundred five million, three hundred ninety thousand, six hundred forty-eight".