254461220 has 24 divisors (see below), whose sum is σ = 575474424. Its totient is φ = 93954816.

The previous prime is 254461201. The next prime is 254461223. The reversal of 254461220 is 22164452.

It can be written as a sum of positive squares in 4 ways, for example, as 57395776 + 197065444 = 7576^2 + 14038^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 254461220.

It is not an unprimeable number, because it can be changed into a prime (254461223) 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 7 ways as a sum of consecutive naturals, for example, 489089 + ... + 489608.

It is an arithmetic number, because the mean of its divisors is an integer number (23978101).

Almost surely, 2^254461220 is an apocalyptic number.

254461220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254461220 is an abundant number, since it is smaller than the sum of its proper divisors (321013204).

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

254461220 is a wasteful number, since it uses less digits than its factorization.

254461220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978719 (or 978717 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 254461220 is about 15951.8406461449. The cubic root of 254461220 is about 633.6856439311.

The spelling of 254461220 in words is "two hundred fifty-four million, four hundred sixty-one thousand, two hundred twenty".