245952 has 84 divisors (see below), whose sum is σ = 818896. Its totient is φ = 69120.

The previous prime is 245941. The next prime is 245963. The reversal of 245952 is 259542.

It is an interprime number because it is at equal distance from previous prime (245941) and next prime (245963).

It is a tau number, because it is divible by the number of its divisors (84).

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is an unprimeable number.

245952 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 11 ways as a sum of consecutive naturals, for example, 4002 + ... + 4062.

2²⁴⁵⁹⁵² 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 245952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409448).

245952 is an abundant number, since it is smaller than the sum of its proper divisors (572944).

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

245952 is a wasteful number, since it uses less digits than its factorization.

245952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 73 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 245952 is about 495.9354796745. The cubic root of 245952 is about 62.6541899611.

It can be divided in two parts, 2 and 45952, that added together give a palindrome (45954).

The spelling of 245952 in words is "two hundred forty-five thousand, nine hundred fifty-two".