254257164 has 192 divisors, whose sum is σ = 820019200. Its totient is φ = 66484800.

The previous prime is 254257163. The next prime is 254257187. The reversal of 254257164 is 461752452.

It is a happy number.

254257164 is a `hidden beast` number, since 2 + 542 + 57 + 1 + 64 = 666.

254257164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (254257163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444999 + ... + 445569.

Almost surely, 2^254257164 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 254257164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410009600).

254257164 is an abundant number, since it is smaller than the sum of its proper divisors (565762036).

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

254257164 is a wasteful number, since it uses less digits than its factorization.

254257164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 633 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 254257164 is about 15945.4433616629. The cubic root of 254257164 is about 633.5162115154.

The spelling of 254257164 in words is "two hundred fifty-four million, two hundred fifty-seven thousand, one hundred sixty-four".