1905725760 has 112 divisors (see below), whose sum is σ = 6059619072. Its totient is φ = 507443200.

The previous prime is 1905725753. The next prime is 1905725813. The reversal of 1905725760 is 675275091.

1905725760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017625 + ... + 1019495.

Almost surely, 2^1905725760 is an apocalyptic number.

1905725760 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 1905725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029809536).

1905725760 is an abundant number, since it is smaller than the sum of its proper divisors (4153893312).

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

1905725760 is a wasteful number, since it uses less digits than its factorization.

1905725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The square root of 1905725760 is about 43654.6189995973. The cubic root of 1905725760 is about 1239.8052416981.

The spelling of 1905725760 in words is "one billion, nine hundred five million, seven hundred twenty-five thousand, seven hundred sixty".