4052000 has 48 divisors (see below), whose sum is σ = 9965592. Its totient is φ = 1619200.

The previous prime is 4051991. The next prime is 4052021. The reversal of 4052000 is 2504.

It can be written as a sum of positive squares in 4 ways, for example, as 163216 + 3888784 = 404^2 + 1972^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3494 + ... + 4506.

Almost surely, 2^4052000 is an apocalyptic number.

4052000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4982796).

4052000 is an abundant number, since it is smaller than the sum of its proper divisors (5913592).

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

4052000 is a wasteful number, since it uses less digits than its factorization.

4052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 4052000 is about 2012.9580224138. The cubic root of 4052000 is about 159.4250195427.

Adding to 4052000 its reverse (2504), we get a palindrome (4054504).

It can be divided in two parts, 405 and 2000, that multiplied together give a 4-th power (810000 = 30⁴).

The spelling of 4052000 in words is "four million, fifty-two thousand", and thus it is an eban number.