1535485120 has 112 divisors (see below), whose sum is σ = 3964399488. Its totient is φ = 563097600.

The previous prime is 1535485117. The next prime is 1535485141. The reversal of 1535485120 is 215845351.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651945 + ... + 654295.

It is an arithmetic number, because the mean of its divisors is an integer number (35396424).

Almost surely, 2^1535485120 is an apocalyptic number.

1535485120 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 1535485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982199744).

1535485120 is an abundant number, since it is smaller than the sum of its proper divisors (2428914368).

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

1535485120 is a wasteful number, since it uses less digits than its factorization.

1535485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 1535485120 is about 39185.2666189730. The cubic root of 1535485120 is about 1153.6707207515.

The spelling of 1535485120 in words is "one billion, five hundred thirty-five million, four hundred eighty-five thousand, one hundred twenty".