1732056480 has 768 divisors, whose sum is σ = 7803371520. Its totient is φ = 348364800.

The previous prime is 1732056467. The next prime is 1732056493. The reversal of 1732056480 is 846502371.

1732056480 is a `hidden beast` number, since 1 + 7 + 3 + 2 + 0 + 5 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1732056467) and next prime (1732056493).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13638177 + ... + 13638303.

It is an arithmetic number, because the mean of its divisors is an integer number (10160640).

Almost surely, 2^1732056480 is an apocalyptic number.

1732056480 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 1732056480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901685760).

1732056480 is an abundant number, since it is smaller than the sum of its proper divisors (6071315040).

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

1732056480 is a wasteful number, since it uses less digits than its factorization.

1732056480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1732056480 is about 41617.9826517336. The cubic root of 1732056480 is about 1200.9382661893.

The spelling of 1732056480 in words is "one billion, seven hundred thirty-two million, fifty-six thousand, four hundred eighty".