1252305600 has 672 divisors, whose sum is σ = 5248997376. Its totient is φ = 254361600.

The previous prime is 1252305569. The next prime is 1252305601. The reversal of 1252305600 is 65032521.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1252305601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20529570 + ... + 20529630.

It is an arithmetic number, because the mean of its divisors is an integer number (7811008).

Almost surely, 2^1252305600 is an apocalyptic number.

1252305600 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 1252305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624498688).

1252305600 is an abundant number, since it is smaller than the sum of its proper divisors (3996691776).

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

1252305600 is a wasteful number, since it uses less digits than its factorization.

1252305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1252305600 is about 35387.9301457432. The cubic root of 1252305600 is about 1077.8792401813.

The spelling of 1252305600 in words is "one billion, two hundred fifty-two million, three hundred five thousand, six hundred".