1540330456 has 64 divisors (see below), whose sum is σ = 3500121600. Its totient is φ = 620773632.

The previous prime is 1540330411. The next prime is 1540330529. The reversal of 1540330456 is 6540330451.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140485 + ... + 151051.

It is an arithmetic number, because the mean of its divisors is an integer number (54689400).

Almost surely, 2^1540330456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540330456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750060800).

1540330456 is an abundant number, since it is smaller than the sum of its proper divisors (1959791144).

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

1540330456 is a wasteful number, since it uses less digits than its factorization.

1540330456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10736 (or 10732 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 1540330456 is about 39247.0439141600. The cubic root of 1540330456 is about 1154.8829441037.

The spelling of 1540330456 in words is "one billion, five hundred forty million, three hundred thirty thousand, four hundred fifty-six".