1539888480 has 288 divisors, whose sum is σ = 5793723936. Its totient is φ = 370040832.

The previous prime is 1539888473. The next prime is 1539888517. The reversal of 1539888480 is 848889351.

1539888480 is a `hidden beast` number, since 153 + 9 + 8 + 8 + 8 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804004 + ... + 805916.

It is an arithmetic number, because the mean of its divisors is an integer number (20117097).

Almost surely, 2^1539888480 is an apocalyptic number.

1539888480 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 1539888480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896861968).

1539888480 is an abundant number, since it is smaller than the sum of its proper divisors (4253835456).

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

1539888480 is a wasteful number, since it uses less digits than its factorization.

1539888480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 1539888480 is about 39241.4128186027. The cubic root of 1539888480 is about 1154.7724744379.

The spelling of 1539888480 in words is "one billion, five hundred thirty-nine million, eight hundred eighty-eight thousand, four hundred eighty".