1245344000 has 72 divisors (see below), whose sum is σ = 3102387288. Its totient is φ = 498124800.

The previous prime is 1245343973. The next prime is 1245344041. The reversal of 1245344000 is 4435421.

It can be written as a sum of positive squares in 4 ways, for example, as 222367744 + 1022976256 = 14912^2 + 31984^2 .

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 7 ways as a sum of consecutive naturals, for example, 12542 + ... + 51458.

Almost surely, 2^1245344000 is an apocalyptic number.

1245344000 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 1245344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551193644).

1245344000 is an abundant number, since it is smaller than the sum of its proper divisors (1857043288).

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

1245344000 is an frugal number, since it uses more digits than its factorization.

1245344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38948 (or 38924 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 1245344000 is about 35289.4318458090. The cubic root of 1245344000 is about 1075.8782079089.

Adding to 1245344000 its reverse (4435421), we get a palindrome (1249779421).

The spelling of 1245344000 in words is "one billion, two hundred forty-five million, three hundred forty-four thousand".