254002032 has 240 divisors, whose sum is σ = 817090560. Its totient is φ = 73156608.

The previous prime is 254002031. The next prime is 254002037. The reversal of 254002032 is 230200452.

254002032 is digitally balanced in base 2, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 254001996 and 254002014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254002031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1999953 + ... + 2000079.

It is an arithmetic number, because the mean of its divisors is an integer number (3404544).

Almost surely, 2^254002032 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 254002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408545280).

254002032 is an abundant number, since it is smaller than the sum of its proper divisors (563088528).

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

254002032 is a wasteful number, since it uses less digits than its factorization.

254002032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 254002032 is about 15937.4411998915. The cubic root of 254002032 is about 633.3042419386.

Adding to 254002032 its reverse (230200452), we get a palindrome (484202484).

The spelling of 254002032 in words is "two hundred fifty-four million, two thousand, thirty-two".