1566480384 has 480 divisors, whose sum is σ = 5708102400. Its totient is φ = 418037760.

The previous prime is 1566480353. The next prime is 1566480431. The reversal of 1566480384 is 4830846651.

1566480384 is a `hidden beast` number, since 1 + 566 + 4 + 8 + 0 + 3 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22063069 + ... + 22063139.

It is an arithmetic number, because the mean of its divisors is an integer number (11891880).

Almost surely, 2^1566480384 is an apocalyptic number.

1566480384 is a gapful number since it is divisible by the number (14) 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 1566480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854051200).

1566480384 is an abundant number, since it is smaller than the sum of its proper divisors (4141622016).

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

1566480384 is an equidigital number, since it uses as much as digits as its factorization.

1566480384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 1566480384 is about 39578.7870455879. The cubic root of 1566480384 is about 1161.3817225266.

The spelling of 1566480384 in words is "one billion, five hundred sixty-six million, four hundred eighty thousand, three hundred eighty-four".