4532449152 has 512 divisors, whose sum is σ = 16243752960. Its totient is φ = 1083801600.

The previous prime is 4532449151. The next prime is 4532449153. The reversal of 4532449152 is 2519442354.

It is an interprime number because it is at equal distance from previous prime (4532449151) and next prime (4532449153).

It is a self number, because there is not a number n which added to its sum of digits gives 4532449152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4532449151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35688513 + ... + 35688639.

It is an arithmetic number, because the mean of its divisors is an integer number (31726080).

Almost surely, 2^4532449152 is an apocalyptic number.

4532449152 is a gapful number since it is divisible by the number (42) 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 4532449152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8121876480).

4532449152 is an abundant number, since it is smaller than the sum of its proper divisors (11711303808).

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

4532449152 is a wasteful number, since it uses less digits than its factorization.

4532449152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 4532449152 is about 67323.4665774127. The cubic root of 4532449152 is about 1654.9224477249.

The spelling of 4532449152 in words is "four billion, five hundred thirty-two million, four hundred forty-nine thousand, one hundred fifty-two".