253336720 has 320 divisors, whose sum is σ = 809948160. Its totient is φ = 71368704.

The previous prime is 253336711. The next prime is 253336739. The reversal of 253336720 is 27633352.

It is an unprimeable number.

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, 2846436 + ... + 2846524.

It is an arithmetic number, because the mean of its divisors is an integer number (2531088).

Almost surely, 2^253336720 is an apocalyptic number.

253336720 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 253336720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404974080).

253336720 is an abundant number, since it is smaller than the sum of its proper divisors (556611440).

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

253336720 is a wasteful number, since it uses less digits than its factorization.

253336720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 31.

The square root of 253336720 is about 15916.5549036216. The cubic root of 253336720 is about 632.7508168033.

The spelling of 253336720 in words is "two hundred fifty-three million, three hundred thirty-six thousand, seven hundred twenty".