1533542400 has 360 divisors, whose sum is σ = 5916060150. Its totient is φ = 377487360.

The previous prime is 1533542377. The next prime is 1533542401. The reversal of 1533542400 is 42453351.

It can be written as a sum of positive squares in 3 ways, for example, as 851705856 + 681836544 = 29184^2 + 26112^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (1533542401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 117964794 + ... + 117964806.

Almost surely, 2^1533542400 is an apocalyptic number.

1533542400 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 1533542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958030075).

1533542400 is an abundant number, since it is smaller than the sum of its proper divisors (4382517750).

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

1533542400 is an frugal number, since it uses more digits than its factorization.

1533542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1533542400 is about 39160.4698643926. The cubic root of 1533542400 is about 1153.1839679453.

Adding to 1533542400 its reverse (42453351), we get a palindrome (1575995751).

The spelling of 1533542400 in words is "one billion, five hundred thirty-three million, five hundred forty-two thousand, four hundred".