1600045260 has 96 divisors (see below), whose sum is σ = 4935071232. Its totient is φ = 384107520.

The previous prime is 1600045211. The next prime is 1600045261. The reversal of 1600045260 is 625400061.

It is a self number, because there is not a number n which added to its sum of digits gives 1600045260.

It is not an unprimeable number, because it can be changed into a prime (1600045261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56212 + ... + 79748.

It is an arithmetic number, because the mean of its divisors is an integer number (51406992).

Almost surely, 2^1600045260 is an apocalyptic number.

1600045260 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 1600045260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467535616).

1600045260 is an abundant number, since it is smaller than the sum of its proper divisors (3335025972).

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

1600045260 is a wasteful number, since it uses less digits than its factorization.

1600045260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23663 (or 23661 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1600045260 is about 40000.5657459991. The cubic root of 1600045260 is about 1169.6181236014.

The spelling of 1600045260 in words is "one billion, six hundred million, forty-five thousand, two hundred sixty".