253794528 has 144 divisors (see below), whose sum is σ = 792529920. Its totient is φ = 76557312.

The previous prime is 253794523. The next prime is 253794529. The reversal of 253794528 is 825497352.

253794528 is a `hidden beast` number, since 2 + 5 + 37 + 94 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (604800) is a multiple of the sum of its prime divisors (1350).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253794521) 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 23 ways as a sum of consecutive naturals, for example, 197793 + ... + 199071.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^253794528 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 253794528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

253794528 is an abundant number, since it is smaller than the sum of its proper divisors (538735392).

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

253794528 is a wasteful number, since it uses less digits than its factorization.

253794528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1350 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 253794528 is about 15930.9299163608. The cubic root of 253794528 is about 633.1317381150.

The spelling of 253794528 in words is "two hundred fifty-three million, seven hundred ninety-four thousand, five hundred twenty-eight".