253704 has 48 divisors (see below), whose sum is σ = 714960. Its totient is φ = 74400.

The previous prime is 253703. The next prime is 253717. The reversal of 253704 is 407352.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (253703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8169 + ... + 8199.

It is an arithmetic number, because the mean of its divisors is an integer number (14895).

2²⁵³⁷⁰⁴ is an apocalyptic number.

253704 is a gapful number since it is divisible by the number (24) 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 253704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357480).

253704 is an abundant number, since it is smaller than the sum of its proper divisors (461256).

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

253704 is a wasteful number, since it uses less digits than its factorization.

253704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 253704 is about 503.6903810874. The cubic root of 253704 is about 63.3056450222.

The spelling of 253704 in words is "two hundred fifty-three thousand, seven hundred four".