253889760 has 96 divisors (see below), whose sum is σ = 807825312. Its totient is φ = 67020800.

The previous prime is 253889749. The next prime is 253889767. The reversal of 253889760 is 67988352.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253889767) 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, 45862 + ... + 51098.

It is an arithmetic number, because the mean of its divisors is an integer number (8414847).

Almost surely, 2^253889760 is an apocalyptic number.

253889760 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 253889760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403912656).

253889760 is an abundant number, since it is smaller than the sum of its proper divisors (553935552).

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

253889760 is a wasteful number, since it uses less digits than its factorization.

253889760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5356 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 253889760 is about 15933.9185387650. The cubic root of 253889760 is about 633.2109187843.

The spelling of 253889760 in words is "two hundred fifty-three million, eight hundred eighty-nine thousand, seven hundred sixty".