1538460000 has 960 divisors, whose sum is σ = 7179701760. Its totient is φ = 311040000.

The previous prime is 1538459959. The next prime is 1538460013. The reversal of 1538460000 is 648351.

1538460000 is a `hidden beast` number, since 1 + 53 + 8 + 4 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41579982 + ... + 41580018.

It is an arithmetic number, because the mean of its divisors is an integer number (7478856).

Almost surely, 2^1538460000 is an apocalyptic number.

1538460000 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 1538460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589850880).

1538460000 is an abundant number, since it is smaller than the sum of its proper divisors (5641241760).

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

1538460000 is a wasteful number, since it uses less digits than its factorization.

1538460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1538460000 is about 39223.2074160184. The cubic root of 1538460000 is about 1154.4152884590.

The spelling of 1538460000 in words is "one billion, five hundred thirty-eight million, four hundred sixty thousand".