4205952 has 64 divisors (see below), whose sum is σ = 12423600. Its totient is φ = 1400832.

The previous prime is 4205951. The next prime is 4205977. The reversal of 4205952 is 2595024.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205951) 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, 2848 + ... + 4064.

Almost surely, 2^4205952 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 4205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6211800).

4205952 is an abundant number, since it is smaller than the sum of its proper divisors (8217648).

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

4205952 is a wasteful number, since it uses less digits than its factorization.

4205952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1222 counting only the distinct ones).

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

The square root of 4205952 is about 2050.8417783925. The cubic root of 4205952 is about 161.4190439242.

The spelling of 4205952 in words is "four million, two hundred five thousand, nine hundred fifty-two".