1578516480 has 180 divisors, whose sum is σ = 5474579292. Its totient is φ = 420741120.

The previous prime is 1578516463. The next prime is 1578516491. The reversal of 1578516480 is 846158751.

1578516480 is a `hidden beast` number, since 1 + 57 + 8 + 516 + 4 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1116094464 + 462422016 = 33408^2 + 21504^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736210 + ... + 738350.

Almost surely, 2^1578516480 is an apocalyptic number.

1578516480 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 1578516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737289646).

1578516480 is an abundant number, since it is smaller than the sum of its proper divisors (3896062812).

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

1578516480 is an equidigital number, since it uses as much as digits as its factorization.

1578516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 1578516480 is about 39730.5484482659. The cubic root of 1578516480 is about 1164.3486396757.

The spelling of 1578516480 in words is "one billion, five hundred seventy-eight million, five hundred sixteen thousand, four hundred eighty".