253376 has 28 divisors (see below), whose sum is σ = 521208. Its totient is φ = 122112.

The previous prime is 253369. The next prime is 253381. The reversal of 253376 is 673352.

253376 = T₈ + T₉ + ... + T₁₁₄.

It is a d-powerful number, because it can be written as 2⁵ + 5³ + 3¹⁰ + 3¹¹ + 7⁵ + 6³ .

It is a congruent number.

It is an unprimeable number.

253376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2315 + ... + 2421.

2²⁵³³⁷⁶ 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 253376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260604).

253376 is an abundant number, since it is smaller than the sum of its proper divisors (267832).

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

253376 is a wasteful number, since it uses less digits than its factorization.

253376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its digits is 3780, while the sum is 26.

The square root of 253376 is about 503.3646789357. The cubic root of 253376 is about 63.2783517902.

The spelling of 253376 in words is "two hundred fifty-three thousand, three hundred seventy-six".