253870848 has 432 divisors, whose sum is σ = 964244736. Its totient is φ = 64696320.

The previous prime is 253870847. The next prime is 253870891. The reversal of 253870848 is 848078352.

253870848 is a `hidden beast` number, since 2 + 538 + 70 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (253870847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4789990 + ... + 4790042.

It is an arithmetic number, because the mean of its divisors is an integer number (2232048).

Almost surely, 2^253870848 is an apocalyptic number.

253870848 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 253870848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482122368).

253870848 is an abundant number, since it is smaller than the sum of its proper divisors (710373888).

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

253870848 is an equidigital number, since it uses as much as digits as its factorization.

253870848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 253870848 is about 15933.3250767064. The cubic root of 253870848 is about 633.1951959732.

The spelling of 253870848 in words is "two hundred fifty-three million, eight hundred seventy thousand, eight hundred forty-eight".