253968000 has 512 divisors, whose sum is σ = 1015822080. Its totient is φ = 55296000.

The previous prime is 253967971. The next prime is 253968007. The reversal of 253968000 is 869352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253968007) 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 63 ways as a sum of consecutive naturals, for example, 6863982 + ... + 6864018.

Almost surely, 2^253968000 is an apocalyptic number.

253968000 is a gapful number since it is divisible by the number (20) 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 253968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507911040).

253968000 is an abundant number, since it is smaller than the sum of its proper divisors (761854080).

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

253968000 is a wasteful number, since it uses less digits than its factorization.

253968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 253968000 is about 15936.3734895992. The cubic root of 253968000 is about 633.2759566365.

The spelling of 253968000 in words is "two hundred fifty-three million, nine hundred sixty-eight thousand".