1456856480 has 48 divisors (see below), whose sum is σ = 3644290440. Its totient is φ = 548462592.

The previous prime is 1456856431. The next prime is 1456856503. The reversal of 1456856480 is 846586541.

It can be written as a sum of positive squares in 4 ways, for example, as 1455880336 + 976144 = 38156^2 + 988^2 .

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 7 ways as a sum of consecutive naturals, for example, 265085 + ... + 270524.

Almost surely, 2^1456856480 is an apocalyptic number.

1456856480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456856480 is an abundant number, since it is smaller than the sum of its proper divisors (2187433960).

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

1456856480 is a wasteful number, since it uses less digits than its factorization.

1456856480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535641 (or 535633 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 47.

The square root of 1456856480 is about 38168.7893441749. The cubic root of 1456856480 is about 1133.6324177973.

The spelling of 1456856480 in words is "one billion, four hundred fifty-six million, eight hundred fifty-six thousand, four hundred eighty".