254932272 has 480 divisors, whose sum is σ = 974937600. Its totient is φ = 62705664.

The previous prime is 254932267. The next prime is 254932273. The reversal of 254932272 is 272239452.

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 (254932273) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8790754 + ... + 8790782.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^254932272 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 254932272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800).

254932272 is an abundant number, since it is smaller than the sum of its proper divisors (720005328).

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

254932272 is a wasteful number, since it uses less digits than its factorization.

254932272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 254932272 is about 15966.5986359024. The cubic root of 254932272 is about 634.0764236971.

The spelling of 254932272 in words is "two hundred fifty-four million, nine hundred thirty-two thousand, two hundred seventy-two".