1253632000 has 192 divisors, whose sum is σ = 3219652800. Its totient is φ = 487014400.

The previous prime is 1253631979. The next prime is 1253632007. The reversal of 1253632000 is 2363521.

It is not an unprimeable number, because it can be changed into a prime (1253632007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15103959 + ... + 15104041.

It is an arithmetic number, because the mean of its divisors is an integer number (16769025).

Almost surely, 2^1253632000 is an apocalyptic number.

1253632000 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 1253632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609826400).

1253632000 is an abundant number, since it is smaller than the sum of its proper divisors (1966020800).

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

1253632000 is an frugal number, since it uses more digits than its factorization.

1253632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1253632000 is about 35406.6660390385. Note that the first 3 decimals coincide. The cubic root of 1253632000 is about 1078.2596570588.

Adding to 1253632000 its reverse (2363521), we get a palindrome (1255995521).

The spelling of 1253632000 in words is "one billion, two hundred fifty-three million, six hundred thirty-two thousand".