1456868340 has 72 divisors (see below), whose sum is σ = 4538625000. Its totient is φ = 377996544.

The previous prime is 1456868333. The next prime is 1456868393. The reversal of 1456868340 is 438686541.

1456868340 is a `hidden beast` number, since 1 + 4 + 568 + 6 + 83 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 485673444 + 971194896 = 22038^2 + 31164^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 102715 + ... + 116034.

Almost surely, 2^1456868340 is an apocalyptic number.

1456868340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456868340 is an abundant number, since it is smaller than the sum of its proper divisors (3081756660).

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

1456868340 is a wasteful number, since it uses less digits than its factorization.

1456868340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218801 (or 218796 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 1456868340 is about 38168.9447063971. The cubic root of 1456868340 is about 1133.6354940198.

The spelling of 1456868340 in words is "one billion, four hundred fifty-six million, eight hundred sixty-eight thousand, three hundred forty".