4201024 has 28 divisors (see below), whose sum is σ = 8545068. Its totient is φ = 2048000.

The previous prime is 4201013. The next prime is 4201051.

4201024 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2458624 + 1742400 = 1568^2 + 1320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4200995 and 4201013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1824 + ... + 3424.

It is an arithmetic number, because the mean of its divisors is an integer number (305181).

Almost surely, 2^4201024 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 4201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272534).

4201024 is an abundant number, since it is smaller than the sum of its proper divisors (4344044).

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

4201024 is a wasteful number, since it uses less digits than its factorization.

4201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4201024 is about 2049.6399683847. The cubic root of 4201024 is about 161.3559758460.

It can be divided in two parts, 420 and 1024, that added together give a square (1444 = 38²).

The spelling of 4201024 in words is "four million, two hundred one thousand, twenty-four".