4205376 has 126 divisors (see below), whose sum is σ = 14116050. Its totient is φ = 1193472.

The previous prime is 4205371. The next prime is 4205381. The reversal of 4205376 is 6735024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4205371) and next prime (4205381).

It can be written as a sum of positive squares in only one way, i.e., 2822400 + 1382976 = 1680^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205371) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28150 + ... + 28298.

Almost surely, 2^4205376 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 4205376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058025).

4205376 is an abundant number, since it is smaller than the sum of its proper divisors (9910674).

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

4205376 is a wasteful number, since it uses less digits than its factorization.

4205376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4205376 is about 2050.7013434433. The cubic root of 4205376 is about 161.4116748740.

The spelling of 4205376 in words is "four million, two hundred five thousand, three hundred seventy-six".