1745220480 has 128 divisors (see below), whose sum is σ = 5593190400. Its totient is φ = 462858240.

The previous prime is 1745220467. The next prime is 1745220577. The reversal of 1745220480 is 840225471.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1745220480² = 6091589047622860800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364341 + ... + 369099.

It is an arithmetic number, because the mean of its divisors is an integer number (43696800).

Almost surely, 2^1745220480 is an apocalyptic number.

1745220480 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 1745220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796595200).

1745220480 is an abundant number, since it is smaller than the sum of its proper divisors (3847969920).

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

1745220480 is a wasteful number, since it uses less digits than its factorization.

1745220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4972 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 1745220480 is about 41775.8360778094. The cubic root of 1745220480 is about 1203.9730534103.

The spelling of 1745220480 in words is "one billion, seven hundred forty-five million, two hundred twenty thousand, four hundred eighty".