1252640000 has 90 divisors (see below), whose sum is σ = 3124882530. Its totient is φ = 500992000.

The previous prime is 1252639991. The next prime is 1252640017. The reversal of 1252640000 is 462521.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 749445376 + 503194624 = 27376^2 + 22432^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 156086 + ... + 163914.

It is an arithmetic number, because the mean of its divisors is an integer number (34720917).

Almost surely, 2^1252640000 is an apocalyptic number.

1252640000 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 1252640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562441265).

1252640000 is an abundant number, since it is smaller than the sum of its proper divisors (1872242530).

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

1252640000 is an frugal number, since it uses more digits than its factorization.

1252640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7865 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1252640000 is about 35392.6546051578. The cubic root of 1252640000 is about 1077.9751727662.

The spelling of 1252640000 in words is "one billion, two hundred fifty-two million, six hundred forty thousand".