253455930 has 144 divisors (see below), whose sum is σ = 825728904. Its totient is φ = 53464320.

The previous prime is 253455901. The next prime is 253455931. The reversal of 253455930 is 39554352.

253455930 is a `hidden beast` number, since 25 + 3 + 45 + 593 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 199741689 + 53714241 = 14133^2 + 7329^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (253455931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55120 + ... + 59540.

Almost surely, 2^253455930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253455930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412864452).

253455930 is an abundant number, since it is smaller than the sum of its proper divisors (572272974).

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

253455930 is a wasteful number, since it uses less digits than its factorization.

253455930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 253455930 is about 15920.2993062317. The cubic root of 253455930 is about 632.8500502089.

The spelling of 253455930 in words is "two hundred fifty-three million, four hundred fifty-five thousand, nine hundred thirty".