258451641 has 28 divisors (see below), whose sum is σ = 442866112. Its totient is φ = 147683736.

The previous prime is 258451607. The next prime is 258451643. The reversal of 258451641 is 146154852.

It is a happy number.

258451641 is a `hidden beast` number, since 2 + 5 + 8 + 4 + 5 + 1 + 641 = 666.

It is not a de Polignac number, because 258451641 - 2¹¹ = 258449593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 258451596 and 258451605.

It is not an unprimeable number, because it can be changed into a prime (258451643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20221 + ... + 30426.

Almost surely, 2^258451641 is an apocalyptic number.

258451641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

258451641 is a deficient number, since it is larger than the sum of its proper divisors (184414471).

258451641 is an frugal number, since it uses more digits than its factorization.

258451641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50672 (or 50657 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 258451641 is about 16076.4312271101. The cubic root of 258451641 is about 636.9809311087.

The spelling of 258451641 in words is "two hundred fifty-eight million, four hundred fifty-one thousand, six hundred forty-one".