253048320 has 320 divisors, whose sum is σ = 1029219840. Its totient is φ = 57729024.

The previous prime is 253048309. The next prime is 253048321. The reversal of 253048320 is 23840352.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253048321) 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 31 ways as a sum of consecutive naturals, for example, 483579 + ... + 484101.

It is an arithmetic number, because the mean of its divisors is an integer number (3216312).

Almost surely, 2^253048320 is an apocalyptic number.

253048320 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 253048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514609920).

253048320 is an abundant number, since it is smaller than the sum of its proper divisors (776171520).

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

253048320 is an equidigital number, since it uses as much as digits as its factorization.

253048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 253048320 is about 15907.4925742557. The cubic root of 253048320 is about 632.5106165580.

Adding to 253048320 its reverse (23840352), we get a palindrome (276888672).

The spelling of 253048320 in words is "two hundred fifty-three million, forty-eight thousand, three hundred twenty".