254484032 has 56 divisors (see below), whose sum is σ = 553711872. Its totient is φ = 115084800.

The previous prime is 254484001. The next prime is 254484037. The reversal of 254484032 is 230484452.

Added to its reverse (230484452) it gives a square (484968484 = 22022²).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 254484032.

It is not an unprimeable number, because it can be changed into a prime (254484037) 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 7 ways as a sum of consecutive naturals, for example, 156182 + ... + 157802.

It is an arithmetic number, because the mean of its divisors is an integer number (9887712).

Almost surely, 2^254484032 is an apocalyptic number.

254484032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254484032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276855936).

254484032 is an abundant number, since it is smaller than the sum of its proper divisors (299227840).

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

254484032 is a wasteful number, since it uses less digits than its factorization.

254484032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 254484032 is about 15952.5556573234. Note that the first 3 decimals coincide. The cubic root of 254484032 is about 633.7045796324.

Adding to 254484032 its reverse (230484452), we get a square (484968484 = 22022²).

The spelling of 254484032 in words is "two hundred fifty-four million, four hundred eighty-four thousand, thirty-two".