1456344540 has 72 divisors (see below), whose sum is σ = 5048665440. Its totient is φ = 332878464.

The previous prime is 1456344503. The next prime is 1456344581. The reversal of 1456344540 is 454436541.

1456344540 is a `hidden beast` number, since 1 + 4 + 563 + 44 + 54 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1456344495 and 1456344504.

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 23 ways as a sum of consecutive naturals, for example, 576655 + ... + 579174.

Almost surely, 2^1456344540 is an apocalyptic number.

1456344540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456344540 is an abundant number, since it is smaller than the sum of its proper divisors (3592320900).

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

1456344540 is a wasteful number, since it uses less digits than its factorization.

1456344540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155851 (or 1155846 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 1456344540 is about 38162.0824903464. The cubic root of 1456344540 is about 1133.4996159325.

The spelling of 1456344540 in words is "one billion, four hundred fifty-six million, three hundred forty-four thousand, five hundred forty".