254417961 has 64 divisors (see below), whose sum is σ = 428933120. Its totient is φ = 130870080.

The previous prime is 254417951. The next prime is 254417963. The reversal of 254417961 is 169714452.

It is not a de Polignac number, because 254417961 - 2⁶ = 254417897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (254417963) 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 63 ways as a sum of consecutive naturals, for example, 828570 + ... + 828876.

It is an arithmetic number, because the mean of its divisors is an integer number (6702080).

Almost surely, 2^254417961 is an apocalyptic number.

254417961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

254417961 is a deficient number, since it is larger than the sum of its proper divisors (174515159).

254417961 is a wasteful number, since it uses less digits than its factorization.

254417961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434.

The product of its digits is 60480, while the sum is 39.

The square root of 254417961 is about 15950.4846634828. The cubic root of 254417961 is about 633.6497325510.

The spelling of 254417961 in words is "two hundred fifty-four million, four hundred seventeen thousand, nine hundred sixty-one".