1538249000 has 64 divisors (see below), whose sum is σ = 3609262800. Its totient is φ = 613632000.

The previous prime is 1538248997. The next prime is 1538249021. The reversal of 1538249000 is 9428351.

It can be written as a sum of positive squares in 8 ways, for example, as 229401316 + 1308847684 = 15146^2 + 36178^2 .

It is an unprimeable number.

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, 407120 + ... + 410880.

Almost surely, 2^1538249000 is an apocalyptic number.

1538249000 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 1538249000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804631400).

1538249000 is an abundant number, since it is smaller than the sum of its proper divisors (2071013800).

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

1538249000 is a wasteful number, since it uses less digits than its factorization.

1538249000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4177 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 1538249000 is about 39220.5175896494. The cubic root of 1538249000 is about 1154.3625099743.

The spelling of 1538249000 in words is "one billion, five hundred thirty-eight million, two hundred forty-nine thousand".