115464 has 32 divisors (see below), whose sum is σ = 306720. Its totient is φ = 36096.

The previous prime is 115459. The next prime is 115469. The reversal of 115464 is 464511.

It is an interprime number because it is at equal distance from previous prime (115459) and next prime (115469).

It is a self number, because there is not a number n which added to its sum of digits gives 115464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115469) by changing a digit.

115464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267 + ... + 549.

It is an arithmetic number, because the mean of its divisors is an integer number (9585).

2¹¹⁵⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153360).

115464 is an abundant number, since it is smaller than the sum of its proper divisors (191256).

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

115464 is a wasteful number, since it uses less digits than its factorization.

115464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 305 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 115464 is about 339.7999411418. The cubic root of 115464 is about 48.6947566199.

Adding to 115464 its reverse (464511), we get a palindrome (579975).

The spelling of 115464 in words is "one hundred fifteen thousand, four hundred sixty-four".