1540456840 has 32 divisors (see below), whose sum is σ = 3732646680. Its totient is φ = 568783872.

The previous prime is 1540456823. The next prime is 1540456849. The reversal of 1540456840 is 486540451.

It can be written as a sum of positive squares in 4 ways, for example, as 1422647524 + 117809316 = 37718^2 + 10854^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1540456840.

It is not an unprimeable number, because it can be changed into a prime (1540456849) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1480689 + ... + 1481728.

Almost surely, 2^1540456840 is an apocalyptic number.

1540456840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1540456840 is an abundant number, since it is smaller than the sum of its proper divisors (2192189840).

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

1540456840 is a wasteful number, since it uses less digits than its factorization.

1540456840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962441 (or 2962437 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 1540456840 is about 39248.6539896593. The cubic root of 1540456840 is about 1154.9145292599.

The spelling of 1540456840 in words is "one billion, five hundred forty million, four hundred fifty-six thousand, eight hundred forty".