1905049440 has 720 divisors, whose sum is σ = 8258468400. Its totient is φ = 398297088.

The previous prime is 1905049439. The next prime is 1905049453. The reversal of 1905049440 is 449405091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 1905049395 and 1905049404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65691346 + ... + 65691374.

It is an arithmetic number, because the mean of its divisors is an integer number (11470095).

Almost surely, 2^1905049440 is an apocalyptic number.

1905049440 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 1905049440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129234200).

1905049440 is an abundant number, since it is smaller than the sum of its proper divisors (6353418960).

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

1905049440 is a wasteful number, since it uses less digits than its factorization.

1905049440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

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

The square root of 1905049440 is about 43646.8720528745. The cubic root of 1905049440 is about 1239.6585601712.

The spelling of 1905049440 in words is "one billion, nine hundred five million, forty-nine thousand, four hundred forty".