253028448 has 240 divisors, whose sum is σ = 796207104. Its totient is φ = 78693120.

The previous prime is 253028443. The next prime is 253028467. The reversal of 253028448 is 844820352.

253028448 is a `hidden beast` number, since 2 + 530 + 2 + 84 + 48 = 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 (253028443) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3776511 + ... + 3776577.

Almost surely, 2^253028448 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 253028448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398103552).

253028448 is an abundant number, since it is smaller than the sum of its proper divisors (543178656).

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

253028448 is a wasteful number, since it uses less digits than its factorization.

253028448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 253028448 is about 15906.8679506684. The cubic root of 253028448 is about 632.4940590088.

The spelling of 253028448 in words is "two hundred fifty-three million, twenty-eight thousand, four hundred forty-eight".