1540207480 has 128 divisors (see below), whose sum is σ = 4215214080. Its totient is φ = 494438400.

The previous prime is 1540207477. The next prime is 1540207481. The reversal of 1540207480 is 847020451.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540207481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1060755 + ... + 1062205.

It is an arithmetic number, because the mean of its divisors is an integer number (32931360).

Almost surely, 2^1540207480 is an apocalyptic number.

1540207480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540207480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107607040).

1540207480 is an abundant number, since it is smaller than the sum of its proper divisors (2675006600).

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

1540207480 is a wasteful number, since it uses less digits than its factorization.

1540207480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 1540207480 is about 39245.4771916459. The cubic root of 1540207480 is about 1154.8522089966.

The spelling of 1540207480 in words is "one billion, five hundred forty million, two hundred seven thousand, four hundred eighty".