1538916480 has 288 divisors, whose sum is σ = 5491668780. Its totient is φ = 396963840.

The previous prime is 1538916461. The next prime is 1538916503. The reversal of 1538916480 is 846198351.

1538916480 is a `hidden beast` number, since 153 + 8 + 9 + 16 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1536012864 + 2903616 = 39192^2 + 1704^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 21674845 + ... + 21674915.

Almost surely, 2^1538916480 is an apocalyptic number.

1538916480 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 1538916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745834390).

1538916480 is an abundant number, since it is smaller than the sum of its proper divisors (3952752300).

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

1538916480 is an equidigital number, since it uses as much as digits as its factorization.

1538916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1538916480 is about 39229.0259884183. The cubic root of 1538916480 is about 1154.5294535722.

The spelling of 1538916480 in words is "one billion, five hundred thirty-eight million, nine hundred sixteen thousand, four hundred eighty".