1789332480 has 528 divisors, whose sum is σ = 6974210880. Its totient is φ = 421134336.

The previous prime is 1789332473. The next prime is 1789332481. The reversal of 1789332480 is 842339871.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1789332481) 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 47 ways as a sum of consecutive naturals, for example, 17372109 + ... + 17372211.

Almost surely, 2^1789332480 is an apocalyptic number.

1789332480 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 1789332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487105440).

1789332480 is an abundant number, since it is smaller than the sum of its proper divisors (5184878400).

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

1789332480 is a wasteful number, since it uses less digits than its factorization.

1789332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1789332480 is about 42300.5021246793. The cubic root of 1789332480 is about 1214.0325988422.

The spelling of 1789332480 in words is "one billion, seven hundred eighty-nine million, three hundred thirty-two thousand, four hundred eighty".