259254432 has 120 divisors (see below), whose sum is σ = 788980500. Its totient is φ = 83414016.

The previous prime is 259254427. The next prime is 259254433. The reversal of 259254432 is 234452952.

259254432 is a `hidden beast` number, since 25 + 92 + 544 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 229704336 + 29550096 = 15156^2 + 5436^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (259254433) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73444 + ... + 76892.

Almost surely, 2^259254432 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 259254432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394490250).

259254432 is an abundant number, since it is smaller than the sum of its proper divisors (529726068).

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

259254432 is a wasteful number, since it uses less digits than its factorization.

259254432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3483 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 259254432 is about 16101.3798166493. The cubic root of 259254432 is about 637.6397700456.

The spelling of 259254432 in words is "two hundred fifty-nine million, two hundred fifty-four thousand, four hundred thirty-two".