1543252880 has 80 divisors (see below), whose sum is σ = 3907718640. Its totient is φ = 563380224.

The previous prime is 1543252853. The next prime is 1543252889. The reversal of 1543252880 is 882523451.

It can be written as a sum of positive squares in 8 ways, for example, as 44943616 + 1498309264 = 6704^2 + 38708^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1543252889) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 84224 + ... + 100896.

It is an arithmetic number, because the mean of its divisors is an integer number (48846483).

Almost surely, 2^1543252880 is an apocalyptic number.

1543252880 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 1543252880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953859320).

1543252880 is an abundant number, since it is smaller than the sum of its proper divisors (2364465760).

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

1543252880 is a wasteful number, since it uses less digits than its factorization.

1543252880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16788 (or 16782 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 1543252880 is about 39284.2574067526. The cubic root of 1543252880 is about 1155.6128579134.

The spelling of 1543252880 in words is "one billion, five hundred forty-three million, two hundred fifty-two thousand, eight hundred eighty".