1240452000 has 144 divisors (see below), whose sum is σ = 4402491912. Its totient is φ = 330777600.

The previous prime is 1240451999. The next prime is 1240452001. The reversal of 1240452000 is 2540421.

It is an interprime number because it is at equal distance from previous prime (1240451999) and next prime (1240452001).

It can be written as a sum of positive squares in 4 ways, for example, as 444535056 + 795916944 = 21084^2 + 28212^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1240452001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18772 + ... + 53228.

Almost surely, 2^1240452000 is an apocalyptic number.

1240452000 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 1240452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201245956).

1240452000 is an abundant number, since it is smaller than the sum of its proper divisors (3162039912).

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

1240452000 is a wasteful number, since it uses less digits than its factorization.

1240452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34488 (or 34467 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1240452000 is about 35220.0511072883. The cubic root of 1240452000 is about 1074.4675928613.

Adding to 1240452000 its reverse (2540421), we get a palindrome (1242992421).

The spelling of 1240452000 in words is "one billion, two hundred forty million, four hundred fifty-two thousand".