254812032 has 192 divisors, whose sum is σ = 782870400. Its totient is φ = 79377408.

The previous prime is 254812027. The next prime is 254812037. The reversal of 254812032 is 230218452.

254812032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (254812027) and next prime (254812037).

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 254811987 and 254812005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254812037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1563183 + ... + 1563345.

It is an arithmetic number, because the mean of its divisors is an integer number (4077450).

Almost surely, 2^254812032 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 254812032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391435200).

254812032 is an abundant number, since it is smaller than the sum of its proper divisors (528058368).

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

254812032 is a wasteful number, since it uses less digits than its factorization.

254812032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 254812032 is about 15962.8328312991. The cubic root of 254812032 is about 633.9767196486.

The spelling of 254812032 in words is "two hundred fifty-four million, eight hundred twelve thousand, thirty-two".