1533521440 has 96 divisors (see below), whose sum is σ = 3968528256. Its totient is φ = 555356160.

The previous prime is 1533521417. The next prime is 1533521447. The reversal of 1533521440 is 441253351.

It is a junction number, because it is equal to n+sod(n) for n = 1533521399 and 1533521408.

It is not an unprimeable number, because it can be changed into a prime (1533521447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461224 + ... + 464536.

It is an arithmetic number, because the mean of its divisors is an integer number (41338836).

Almost surely, 2^1533521440 is an apocalyptic number.

1533521440 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 1533521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984264128).

1533521440 is an abundant number, since it is smaller than the sum of its proper divisors (2435006816).

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

1533521440 is a wasteful number, since it uses less digits than its factorization.

1533521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 1533521440 is about 39160.2022466687. The cubic root of 1533521440 is about 1153.1787141299.

Adding to 1533521440 its reverse (441253351), we get a palindrome (1974774791).

The spelling of 1533521440 in words is "one billion, five hundred thirty-three million, five hundred twenty-one thousand, four hundred forty".