1905490440 has 192 divisors, whose sum is σ = 7388841600. Its totient is φ = 435528576.

The previous prime is 1905490439. The next prime is 1905490459. The reversal of 1905490440 is 440945091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1905490395 and 1905490404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34917 + ... + 70923.

It is an arithmetic number, because the mean of its divisors is an integer number (38483550).

Almost surely, 2^1905490440 is an apocalyptic number.

1905490440 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 1905490440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694420800).

1905490440 is an abundant number, since it is smaller than the sum of its proper divisors (5483351160).

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

1905490440 is a wasteful number, since it uses less digits than its factorization.

1905490440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36041 (or 36024 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1905490440 is about 43651.9236689519. The cubic root of 1905490440 is about 1239.7542090005.

The spelling of 1905490440 in words is "one billion, nine hundred five million, four hundred ninety thousand, four hundred forty".