1252393940 has 72 divisors (see below), whose sum is σ = 3089954952. Its totient is φ = 425107200.

The previous prime is 1252393937. The next prime is 1252393943. The reversal of 1252393940 is 493932521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1252393937) and next prime (1252393943).

It can be written as a sum of positive squares in 4 ways, for example, as 78783376 + 1173610564 = 8876^2 + 34258^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1252393894 and 1252393903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252393943) 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 23 ways as a sum of consecutive naturals, for example, 92654 + ... + 105306.

It is an arithmetic number, because the mean of its divisors is an integer number (42916041).

Almost surely, 2^1252393940 is an apocalyptic number.

1252393940 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 1252393940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544977476).

1252393940 is an abundant number, since it is smaller than the sum of its proper divisors (1837561012).

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

1252393940 is a wasteful number, since it uses less digits than its factorization.

1252393940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12777 (or 12768 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 1252393940 is about 35389.1782894150. The cubic root of 1252393940 is about 1077.9045847972.

The spelling of 1252393940 in words is "one billion, two hundred fifty-two million, three hundred ninety-three thousand, nine hundred forty".