253416 has 16 divisors (see below), whose sum is σ = 633600. Its totient is φ = 84464.

The previous prime is 253387. The next prime is 253417. The reversal of 253416 is 614352.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 253392 and 253401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5256 + ... + 5303.

It is an arithmetic number, because the mean of its divisors is an integer number (39600).

2²⁵³⁴¹⁶ is an apocalyptic number.

It is an amenable number.

253416 is an abundant number, since it is smaller than the sum of its proper divisors (380184).

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

253416 is a wasteful number, since it uses less digits than its factorization.

253416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10568 (or 10564 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 253416 is about 503.4044099926. The cubic root of 253416 is about 63.2816814938.

Adding to 253416 its reverse (614352), we get a palindrome (867768).

The spelling of 253416 in words is "two hundred fifty-three thousand, four hundred sixteen".