4295491600 has 135 divisors (see below), whose sum is σ = 10783470373. Its totient is φ = 1644267520.

The previous prime is 4295491597. The next prime is 4295491601. The reversal of 4295491600 is 61945924.

The square root of 4295491600 is 65540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 4294443024 + 1048576 = 65532^2 + 1024^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4295491601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38013144 + ... + 38013256.

Almost surely, 2^4295491600 is an apocalyptic number.

4295491600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4295491600 is the 65540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4295491600

4295491600 is an abundant number, since it is smaller than the sum of its proper divisors (6487978773).

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

4295491600 is a wasteful number, since it uses less digits than its factorization.

4295491600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The cubic root of 4295491600 is about 1625.5648182531.

The spelling of 4295491600 in words is "four billion, two hundred ninety-five million, four hundred ninety-one thousand, six hundred".