1538244864 has 576 divisors, whose sum is σ = 5562950400. Its totient is φ = 414056448.

The previous prime is 1538244863. The next prime is 1538244871. The reversal of 1538244864 is 4684428351.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (1538244863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29023462 + ... + 29023514.

It is an arithmetic number, because the mean of its divisors is an integer number (9657900).

Almost surely, 2^1538244864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1538244864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781475200).

1538244864 is an abundant number, since it is smaller than the sum of its proper divisors (4024705536).

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

1538244864 is a wasteful number, since it uses less digits than its factorization.

1538244864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 1538244864 is about 39220.4648621099. The cubic root of 1538244864 is about 1154.3614753677.

The spelling of 1538244864 in words is "one billion, five hundred thirty-eight million, two hundred forty-four thousand, eight hundred sixty-four".