253464 has 32 divisors (see below), whose sum is σ = 648000. Its totient is φ = 82592.

The previous prime is 253447. The next prime is 253469. The reversal of 253464 is 464352.

253464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2 + 5⁷ + 4⁶ + 3¹⁰ + 6⁶ + 4⁸ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253464.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1327 + ... + 1505.

It is an arithmetic number, because the mean of its divisors is an integer number (20250).

2²⁵³⁴⁶⁴ is an apocalyptic number.

253464 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 253464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324000).

253464 is an abundant number, since it is smaller than the sum of its proper divisors (394536).

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

253464 is a wasteful number, since it uses less digits than its factorization.

253464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 253464 is about 503.4520831221. The cubic root of 253464 is about 63.2856766756.

It can be divided in two parts, 253 and 464, that added together give a palindrome (717).

The spelling of 253464 in words is "two hundred fifty-three thousand, four hundred sixty-four".