1252298880 has 960 divisors, whose sum is σ = 5698301400. Its totient is φ = 260112384.

The previous prime is 1252298869. The next prime is 1252298881. The reversal of 1252298880 is 888922521.

It can be written as a sum of positive squares in 4 ways, for example, as 1140277824 + 112021056 = 33768^2 + 10584^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1252298881) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43182706 + ... + 43182734.

Almost surely, 2^1252298880 is an apocalyptic number.

1252298880 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 1252298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849150700).

1252298880 is an abundant number, since it is smaller than the sum of its proper divisors (4446002520).

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

1252298880 is a wasteful number, since it uses less digits than its factorization.

1252298880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1252298880 is about 35387.8351979886. The cubic root of 1252298880 is about 1077.8773121744.

The spelling of 1252298880 in words is "one billion, two hundred fifty-two million, two hundred ninety-eight thousand, eight hundred eighty".