4077252 has 36 divisors (see below), whose sum is σ = 10588396. Its totient is φ = 1321920.

The previous prime is 4077247. The next prime is 4077253. The reversal of 4077252 is 2527704.

4077252 is a `hidden beast` number, since 407 + 7 + 252 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 298116 = 1944^2 + 546^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4077253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199 + ... + 2862.

Almost surely, 2^4077252 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 4077252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294198).

4077252 is an abundant number, since it is smaller than the sum of its proper divisors (6511144).

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

4077252 is a wasteful number, since it uses less digits than its factorization.

4077252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 4077252 is about 2019.2206417328. The cubic root of 4077252 is about 159.7555120171.

The spelling of 4077252 in words is "four million, seventy-seven thousand, two hundred fifty-two".