1530491760 has 560 divisors, whose sum is σ = 6401447424. Its totient is φ = 332563968.

The previous prime is 1530491749. The next prime is 1530491773. The reversal of 1530491760 is 671940351.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 9389439 + ... + 9389601.

Almost surely, 2^1530491760 is an apocalyptic number.

1530491760 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 1530491760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200723712).

1530491760 is an abundant number, since it is smaller than the sum of its proper divisors (4870955664).

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

1530491760 is a wasteful number, since it uses less digits than its factorization.

1530491760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1530491760 is about 39121.4999712434. The cubic root of 1530491760 is about 1152.4187930479.

The spelling of 1530491760 in words is "one billion, five hundred thirty million, four hundred ninety-one thousand, seven hundred sixty".