253460 has 48 divisors (see below), whose sum is σ = 604800. Its totient is φ = 88704.

The previous prime is 253447. The next prime is 253469. The reversal of 253460 is 64352.

253460 = T₁ + T₂ + ... + T₁₁₄.

253460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

253460 is a nontrivial binomial coefficient, being equal to C(116, 3).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253469) by changing a digit.

It is the 114-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8726 + ... + 8754.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2²⁵³⁴⁶⁰ is an apocalyptic number.

253460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

253460 is an abundant number, since it is smaller than the sum of its proper divisors (351340).

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

253460 is a wasteful number, since it uses less digits than its factorization.

253460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 253460 is about 503.4481105337. The cubic root of 253460 is about 63.2853437630.

The spelling of 253460 in words is "two hundred fifty-three thousand, four hundred sixty".