1745140480 has 72 divisors (see below), whose sum is σ = 4227400800. Its totient is φ = 690167808.

The previous prime is 1745140471. The next prime is 1745140499. The reversal of 1745140480 is 840415471.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106261 + ... + 121579.

It is an arithmetic number, because the mean of its divisors is an integer number (58713900).

Almost surely, 2^1745140480 is an apocalyptic number.

1745140480 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 1745140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113700400).

1745140480 is an abundant number, since it is smaller than the sum of its proper divisors (2482260320).

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

1745140480 is an equidigital number, since it uses as much as digits as its factorization.

1745140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15429 (or 15415 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 1745140480 is about 41774.8785755267. The cubic root of 1745140480 is about 1203.9546566295.

The spelling of 1745140480 in words is "one billion, seven hundred forty-five million, one hundred forty thousand, four hundred eighty".