1540418964 has 48 divisors (see below), whose sum is σ = 4177420800. Its totient is φ = 432658656.

The previous prime is 1540418963. The next prime is 1540418983. The reversal of 1540418964 is 4698140451.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540418963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 150454 + ... + 160365.

It is an arithmetic number, because the mean of its divisors is an integer number (87029600).

Almost surely, 2^1540418964 is an apocalyptic number.

1540418964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1540418964 is an abundant number, since it is smaller than the sum of its proper divisors (2637001836).

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

1540418964 is a wasteful number, since it uses less digits than its factorization.

1540418964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310892 (or 310890 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1540418964 is about 39248.1714733311. The cubic root of 1540418964 is about 1154.9050636910.

The spelling of 1540418964 in words is "one billion, five hundred forty million, four hundred eighteen thousand, nine hundred sixty-four".