1252491840 has 168 divisors, whose sum is σ = 4322463288. Its totient is φ = 332881920.

The previous prime is 1252491797. The next prime is 1252491883. The reversal of 1252491840 is 481942521.

1252491840 is a `hidden beast` number, since 1 + 2 + 524 + 91 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1252491797) and next prime (1252491883).

It can be written as a sum of positive squares in 4 ways, for example, as 84492864 + 1167998976 = 9192^2 + 34176^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1252491795 and 1252491804.

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 23 ways as a sum of consecutive naturals, for example, 1211964 + ... + 1212996.

Almost surely, 2^1252491840 is an apocalyptic number.

1252491840 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 1252491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161231644).

1252491840 is an abundant number, since it is smaller than the sum of its proper divisors (3069971448).

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

1252491840 is a wasteful number, since it uses less digits than its factorization.

1252491840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1252491840 is about 35390.5614535853. The cubic root of 1252491840 is about 1077.9326707707.

The spelling of 1252491840 in words is "one billion, two hundred fifty-two million, four hundred ninety-one thousand, eight hundred forty".