4202900 has 72 divisors (see below), whose sum is σ = 10171224. Its totient is φ = 1497600.

The previous prime is 4202899. The next prime is 4202903. The reversal of 4202900 is 92024.

It can be written as a sum of positive squares in 12 ways, for example, as 2650384 + 1552516 = 1628^2 + 1246^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68870 + ... + 68930.

It is an arithmetic number, because the mean of its divisors is an integer number (141267).

Almost surely, 2^4202900 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 4202900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085612).

4202900 is an abundant number, since it is smaller than the sum of its proper divisors (5968324).

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

4202900 is a wasteful number, since it uses less digits than its factorization.

4202900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4202900 is about 2050.0975586542. The cubic root of 4202900 is about 161.3799905277.

Adding to 4202900 its reverse (92024), we get a palindrome (4294924).

The spelling of 4202900 in words is "four million, two hundred two thousand, nine hundred".