1457513856 has 96 divisors (see below), whose sum is σ = 4329549120. Its totient is φ = 470154240.

The previous prime is 1457513843. The next prime is 1457513861. The reversal of 1457513856 is 6583157541.

1457513856 is a `hidden beast` number, since 1 + 4 + 57 + 513 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 15306 + ... + 56118.

It is an arithmetic number, because the mean of its divisors is an integer number (45099470).

Almost surely, 2^1457513856 is an apocalyptic number.

1457513856 is a gapful number since it is divisible by the number (16) 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 1457513856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164774560).

1457513856 is an abundant number, since it is smaller than the sum of its proper divisors (2872035264).

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

1457513856 is a wasteful number, since it uses less digits than its factorization.

1457513856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40864 (or 40849 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 1457513856 is about 38177.3998066919. The cubic root of 1457513856 is about 1133.8029014594.

Adding to 1457513856 its product of digits (504000), we get a square (1458017856 = 38184²).

The spelling of 1457513856 in words is "one billion, four hundred fifty-seven million, five hundred thirteen thousand, eight hundred fifty-six".