1746480456 has 288 divisors, whose sum is σ = 5919825600. Its totient is φ = 455051520.

The previous prime is 1746480391. The next prime is 1746480467. The reversal of 1746480456 is 6540846471.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5276211 + ... + 5276541.

It is an arithmetic number, because the mean of its divisors is an integer number (20554950).

Almost surely, 2^1746480456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1746480456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959912800).

1746480456 is an abundant number, since it is smaller than the sum of its proper divisors (4173345144).

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

1746480456 is a wasteful number, since it uses less digits than its factorization.

1746480456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 1746480456 is about 41790.9135578537. The cubic root of 1746480456 is about 1204.2627230635.

The spelling of 1746480456 in words is "one billion, seven hundred forty-six million, four hundred eighty thousand, four hundred fifty-six".