254475 has 48 divisors (see below), whose sum is σ = 520800. Its totient is φ = 120960.

The previous prime is 254461. The next prime is 254489. The reversal of 254475 is 574452.

254475 = T₁₃₀ + T₁₃₁ + ... + T₁₅₄.

254475 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (254461) and next prime (254489).

It is not a de Polignac number, because 254475 - 2¹⁵ = 221707 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (5600) is a multiple of the sum of its prime divisors (50).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 254475.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8761 + ... + 8789.

It is an arithmetic number, because the mean of its divisors is an integer number (10850).

2²⁵⁴⁴⁷⁵ is an apocalyptic number.

254475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

254475 is the 270-th nonagonal number.

254475 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

254475 is a wasteful number, since it uses less digits than its factorization.

254475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 50 counting only the distinct ones).

The product of its digits is 5600, while the sum is 27.

The square root of 254475 is about 504.4551516240. The cubic root of 254475 is about 63.3697082518.

It can be divided in two parts, 25447 and 5, that added together give a palindrome (25452).

The spelling of 254475 in words is "two hundred fifty-four thousand, four hundred seventy-five".