1608253440 has 152 divisors (see below), whose sum is σ = 5158984080. Its totient is φ = 427819008.

The previous prime is 1608253421. The next prime is 1608253441. The reversal of 1608253440 is 443528061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608253441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3931956 + ... + 3932364.

Almost surely, 2^1608253440 is an apocalyptic number.

1608253440 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 1608253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579492040).

1608253440 is an abundant number, since it is smaller than the sum of its proper divisors (3550730640).

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

1608253440 is an frugal number, since it uses more digits than its factorization.

1608253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 1608253440 is about 40103.0352965957. The cubic root of 1608253440 is about 1171.6147475544.

The spelling of 1608253440 in words is "one billion, six hundred eight million, two hundred fifty-three thousand, four hundred forty".