1540421000 has 256 divisors, whose sum is σ = 4097433600. Its totient is φ = 539136000.

The previous prime is 1540420979. The next prime is 1540421011. The reversal of 1540421000 is 1240451.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1540421000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19498961 + ... + 19499039.

It is an arithmetic number, because the mean of its divisors is an integer number (16005600).

Almost surely, 2^1540421000 is an apocalyptic number.

1540421000 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 1540421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048716800).

1540421000 is an abundant number, since it is smaller than the sum of its proper divisors (2557012600).

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

1540421000 is a wasteful number, since it uses less digits than its factorization.

1540421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1540421000 is about 39248.1974108366. The cubic root of 1540421000 is about 1154.9055725105.

Adding to 1540421000 its reverse (1240451), we get a palindrome (1541661451).

The spelling of 1540421000 in words is "one billion, five hundred forty million, four hundred twenty-one thousand".