253400 has 48 divisors (see below), whose sum is σ = 677040. Its totient is φ = 86400.

The previous prime is 253387. The next prime is 253417. The reversal of 253400 is 4352.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1310 + ... + 1490.

It is an arithmetic number, because the mean of its divisors is an integer number (14105).

2²⁵³⁴⁰⁰ is an apocalyptic number.

253400 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 253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338520).

253400 is an abundant number, since it is smaller than the sum of its proper divisors (423640).

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

253400 is a wasteful number, since it uses less digits than its factorization.

253400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 253400 is about 503.3885179461. The cubic root of 253400 is about 63.2803496544.

Adding to 253400 its reverse (4352), we get a palindrome (257752).

The spelling of 253400 in words is "two hundred fifty-three thousand, four hundred".