1605553488 has 480 divisors, whose sum is σ = 6031613952. Its totient is φ = 401241600.

The previous prime is 1605553471. The next prime is 1605553517. The reversal of 1605553488 is 8843555061.

1605553488 is a `hidden beast` number, since 1 + 60 + 55 + 534 + 8 + 8 = 666.

It is a super-2 number, since 2×1605553488² = 5155604005657932288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9280570 + ... + 9280742.

Almost surely, 2^1605553488 is an apocalyptic number.

1605553488 is a gapful number since it is divisible by the number (18) 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 1605553488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015806976).

1605553488 is an abundant number, since it is smaller than the sum of its proper divisors (4426060464).

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

1605553488 is a wasteful number, since it uses less digits than its factorization.

1605553488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 1605553488 is about 40069.3584675373. The cubic root of 1605553488 is about 1170.9587407854.

The spelling of 1605553488 in words is "one billion, six hundred five million, five hundred fifty-three thousand, four hundred eighty-eight".