1457543680 has 80 divisors (see below), whose sum is σ = 3539416320. Its totient is φ = 575557632.

The previous prime is 1457543677. The next prime is 1457543687. The reversal of 1457543680 is 863457541.

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 (1457543687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198637 + ... + 205843.

It is an arithmetic number, because the mean of its divisors is an integer number (44242704).

Almost surely, 2^1457543680 is an apocalyptic number.

1457543680 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 1457543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769708160).

1457543680 is an abundant number, since it is smaller than the sum of its proper divisors (2081872640).

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

1457543680 is an frugal number, since it uses more digits than its factorization.

1457543680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7309 (or 7293 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The square root of 1457543680 is about 38177.7904022745. The cubic root of 1457543680 is about 1133.8106347894.

The spelling of 1457543680 in words is "one billion, four hundred fifty-seven million, five hundred forty-three thousand, six hundred eighty".