1760460480 has 280 divisors, whose sum is σ = 6536752992. Its totient is φ = 448892928.

The previous prime is 1760460433. The next prime is 1760460491. The reversal of 1760460480 is 840640671.

1760460480 is a `hidden beast` number, since 1 + 7 + 604 + 6 + 0 + 48 + 0 = 666.

It is a super-2 number, since 2×1760460480² = 6198442203283660800, which contains 22 as substring.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 594684 + ... + 597636.

Almost surely, 2^1760460480 is an apocalyptic number.

1760460480 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 1760460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268376496).

1760460480 is an abundant number, since it is smaller than the sum of its proper divisors (4776292512).

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

1760460480 is a wasteful number, since it uses less digits than its factorization.

1760460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1760460480 is about 41957.8416985431. The cubic root of 1760460480 is about 1207.4674347917.

The spelling of 1760460480 in words is "one billion, seven hundred sixty million, four hundred sixty thousand, four hundred eighty".