253032648 has 128 divisors (see below), whose sum is σ = 717171840. Its totient is φ = 73728000.

The previous prime is 253032629. The next prime is 253032701. The reversal of 253032648 is 846230352.

It is a happy number.

253032648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 15907²-1.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1049808 + ... + 1050048.

It is an arithmetic number, because the mean of its divisors is an integer number (5602905).

Almost surely, 2^253032648 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 253032648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358585920).

253032648 is an abundant number, since it is smaller than the sum of its proper divisors (464139192).

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

253032648 is a wasteful number, since it uses less digits than its factorization.

253032648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 253032648 is about 15906.9999685673. Note that the first 4 decimals coincide. The cubic root of 253032648 is about 632.4975585631.

The spelling of 253032648 in words is "two hundred fifty-three million, thirty-two thousand, six hundred forty-eight".