1748796480 has 560 divisors, whose sum is σ = 6771314880. Its totient is φ = 426995712.

The previous prime is 1748796473. The next prime is 1748796487. The reversal of 1748796480 is 846978471.

It is a happy number.

1748796480 is a `hidden beast` number, since 1 + 74 + 8 + 7 + 96 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1748796473) and next prime (1748796487).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1748796487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26101407 + ... + 26101473.

Almost surely, 2^1748796480 is an apocalyptic number.

1748796480 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 1748796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385657440).

1748796480 is an abundant number, since it is smaller than the sum of its proper divisors (5022518400).

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

1748796480 is a wasteful number, since it uses less digits than its factorization.

1748796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 1748796480 is about 41818.6140372921. The cubic root of 1748796480 is about 1204.7948159330.

The spelling of 1748796480 in words is "one billion, seven hundred forty-eight million, seven hundred ninety-six thousand, four hundred eighty".