1252854720 has 336 divisors, whose sum is σ = 4698613920. Its totient is φ = 304570368.

The previous prime is 1252854679. The next prime is 1252854721. The reversal of 1252854720 is 274582521.

It is a happy number.

1252854720 is a `hidden beast` number, since 12 + 528 + 54 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252854721) 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 47 ways as a sum of consecutive naturals, for example, 4080807 + ... + 4081113.

It is an arithmetic number, because the mean of its divisors is an integer number (13983970).

Almost surely, 2^1252854720 is an apocalyptic number.

1252854720 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 1252854720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349306960).

1252854720 is an abundant number, since it is smaller than the sum of its proper divisors (3445759200).

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

1252854720 is a wasteful number, since it uses less digits than its factorization.

1252854720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1252854720 is about 35395.6878729599. The cubic root of 1252854720 is about 1078.0367625832.

The spelling of 1252854720 in words is "one billion, two hundred fifty-two million, eight hundred fifty-four thousand, seven hundred twenty".