1742880480 has 384 divisors, whose sum is σ = 6273179136. Its totient is φ = 403046400.

The previous prime is 1742880479. The next prime is 1742880487. The reversal of 1742880480 is 840882471.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1742880487) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 17967792 + ... + 17967888.

It is an arithmetic number, because the mean of its divisors is an integer number (16336404).

Almost surely, 2^1742880480 is an apocalyptic number.

1742880480 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 1742880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136589568).

1742880480 is an abundant number, since it is smaller than the sum of its proper divisors (4530298656).

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

1742880480 is a wasteful number, since it uses less digits than its factorization.

1742880480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 1742880480 is about 41747.8200628488. The cubic root of 1742880480 is about 1203.4347151192.

The spelling of 1742880480 in words is "one billion, seven hundred forty-two million, eight hundred eighty thousand, four hundred eighty".