253422648 has 128 divisors (see below), whose sum is σ = 760320000. Its totient is φ = 77970816.

The previous prime is 253422647. The next prime is 253422661. The reversal of 253422648 is 846224352.

253422648 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 2 + 2 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253422647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143193 + ... + 144951.

It is an arithmetic number, because the mean of its divisors is an integer number (5940000).

Almost surely, 2^253422648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253422648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380160000).

253422648 is an abundant number, since it is smaller than the sum of its proper divisors (506897352).

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

253422648 is a wasteful number, since it uses less digits than its factorization.

253422648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1816 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 253422648 is about 15919.2540026221. The cubic root of 253422648 is about 632.8223485655.

The spelling of 253422648 in words is "two hundred fifty-three million, four hundred twenty-two thousand, six hundred forty-eight".