1456882680 has 64 divisors (see below), whose sum is σ = 4767984000. Its totient is φ = 353183360.

The previous prime is 1456882667. The next prime is 1456882729. The reversal of 1456882680 is 862886541.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 550530 + ... + 553169.

It is an arithmetic number, because the mean of its divisors is an integer number (74499750).

Almost surely, 2^1456882680 is an apocalyptic number.

1456882680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456882680 is an abundant number, since it is smaller than the sum of its proper divisors (3311101320).

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

1456882680 is a wasteful number, since it uses less digits than its factorization.

1456882680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103724 (or 1103720 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 1456882680 is about 38169.1325549848. The cubic root of 1456882680 is about 1133.6392134773.

The spelling of 1456882680 in words is "one billion, four hundred fifty-six million, eight hundred eighty-two thousand, six hundred eighty".