1540424000 has 56 divisors (see below), whose sum is σ = 3814879848. Its totient is φ = 616166400.

The previous prime is 1540423999. The next prime is 1540424003. The reversal of 1540424000 is 4240451.

It can be written as a sum of positive squares in 4 ways, for example, as 18496 + 1540405504 = 136^2 + 39248^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540424003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88277 + ... + 104276.

Almost surely, 2^1540424000 is an apocalyptic number.

1540424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1540424000 is an abundant number, since it is smaller than the sum of its proper divisors (2274455848).

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

1540424000 is an equidigital number, since it uses as much as digits as its factorization.

1540424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192580 (or 192560 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1540424000 is about 39248.2356291337. The cubic root of 1540424000 is about 1154.9063222437.

Adding to 1540424000 its reverse (4240451), we get a palindrome (1544664451).

The spelling of 1540424000 in words is "one billion, five hundred forty million, four hundred twenty-four thousand".