254034432 has 120 divisors (see below), whose sum is σ = 758840940. Its totient is φ = 81715200.

The previous prime is 254034377. The next prime is 254034433. The reversal of 254034432 is 234430452.

It can be written as a sum of positive squares in 2 ways, for example, as 240374016 + 13660416 = 15504^2 + 3696^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 254034396 and 254034405.

It is not an unprimeable number, because it can be changed into a prime (254034433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132682 + ... + 134582.

Almost surely, 2^254034432 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 254034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379420470).

254034432 is an abundant number, since it is smaller than the sum of its proper divisors (504806508).

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

254034432 is a wasteful number, since it uses less digits than its factorization.

254034432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 254034432 is about 15938.4576418172. The cubic root of 254034432 is about 633.3311684752.

Adding to 254034432 its reverse (234430452), we get a palindrome (488464884).

The spelling of 254034432 in words is "two hundred fifty-four million, thirty-four thousand, four hundred thirty-two".