1832416488 has 192 divisors, whose sum is σ = 5826038400. Its totient is φ = 509483520.

The previous prime is 1832416457. The next prime is 1832416499. The reversal of 1832416488 is 8846142381.

1832416488 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4834683 + ... + 4835061.

It is an arithmetic number, because the mean of its divisors is an integer number (30343950).

Almost surely, 2^1832416488 is an apocalyptic number.

1832416488 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 1832416488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913019200).

1832416488 is an abundant number, since it is smaller than the sum of its proper divisors (3993621912).

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

1832416488 is a wasteful number, since it uses less digits than its factorization.

1832416488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 625 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 1832416488 is about 42806.7341431229. The cubic root of 1832416488 is about 1223.6993526616.

The spelling of 1832416488 in words is "one billion, eight hundred thirty-two million, four hundred sixteen thousand, four hundred eighty-eight".