363952 has 30 divisors (see below), whose sum is σ = 754292. Its totient is φ = 170016.

The previous prime is 363949. The next prime is 363959. The reversal of 363952 is 259363.

It is a super-2 number, since 2×363952² = 264922116608, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 363952.

It is not an unprimeable number, because it can be changed into a prime (363959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8443 + ... + 8485.

2³⁶³⁹⁵² 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 363952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377146).

363952 is an abundant number, since it is smaller than the sum of its proper divisors (390340).

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

363952 is a wasteful number, since it uses less digits than its factorization.

363952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 68 counting only the distinct ones).

The product of its digits is 4860, while the sum is 28.

The square root of 363952 is about 603.2843442358. The cubic root of 363952 is about 71.3972312035.

The spelling of 363952 in words is "three hundred sixty-three thousand, nine hundred fifty-two".