1457408256 has 36 divisors (see below), whose sum is σ = 3878833392. Its totient is φ = 485802496.

The previous prime is 1457408233. The next prime is 1457408269. The reversal of 1457408256 is 6528047541.

It is a happy 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 3 ways as a sum of consecutive naturals, for example, 948066 + ... + 949601.

It is an arithmetic number, because the mean of its divisors is an integer number (107745372).

Almost surely, 2^1457408256 is an apocalyptic number.

1457408256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1457408256 is an abundant number, since it is smaller than the sum of its proper divisors (2421425136).

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

1457408256 is an equidigital number, since it uses as much as digits as its factorization.

1457408256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897686 (or 1897672 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 1457408256 is about 38176.0167644557. The cubic root of 1457408256 is about 1133.7755186487.

The spelling of 1457408256 in words is "one billion, four hundred fifty-seven million, four hundred eight thousand, two hundred fifty-six".