1452888960 has 128 divisors (see below), whose sum is σ = 4874947200. Its totient is φ = 367036416.

The previous prime is 1452888959. The next prime is 1452888967. The reversal of 1452888960 is 698882541.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1452888960² = 4221772660179763200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1452888967) by changing a digit.

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, 16567 + ... + 56393.

It is an arithmetic number, because the mean of its divisors is an integer number (38085525).

Almost surely, 2^1452888960 is an apocalyptic number.

1452888960 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 1452888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437473600).

1452888960 is an abundant number, since it is smaller than the sum of its proper divisors (3422058240).

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

1452888960 is a wasteful number, since it uses less digits than its factorization.

1452888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39868 (or 39856 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The square root of 1452888960 is about 38116.7805566000. The cubic root of 1452888960 is about 1132.6023921963.

The spelling of 1452888960 in words is "one billion, four hundred fifty-two million, eight hundred eighty-eight thousand, nine hundred sixty".