253053248 has 168 divisors, whose sum is σ = 639348480. Its totient is φ = 98703360.

The previous prime is 253053247. The next prime is 253053277. The reversal of 253053248 is 842350352.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253053247) 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 23 ways as a sum of consecutive naturals, for example, 1847036 + ... + 1847172.

Almost surely, 2^253053248 is an apocalyptic number.

253053248 is a gapful number since it is divisible by the number (28) 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 253053248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319674240).

253053248 is an abundant number, since it is smaller than the sum of its proper divisors (386295232).

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

253053248 is a wasteful number, since it uses less digits than its factorization.

253053248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 253053248 is about 15907.6474690634. The cubic root of 253053248 is about 632.5147224827.

The spelling of 253053248 in words is "two hundred fifty-three million, fifty-three thousand, two hundred forty-eight".