4240100 has 36 divisors (see below), whose sum is σ = 9309300. Its totient is φ = 1676160.

The previous prime is 4240091. The next prime is 4240109. The reversal of 4240100 is 10424.

It is an interprime number because it is at equal distance from previous prime (4240091) and next prime (4240109).

It can be written as a sum of positive squares in 6 ways, for example, as 135424 + 4104676 = 368^2 + 2026^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240109) 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, 10706 + ... + 11094.

Almost surely, 2^4240100 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 4240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654650).

4240100 is an abundant number, since it is smaller than the sum of its proper divisors (5069200).

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

4240100 is a wasteful number, since it uses less digits than its factorization.

4240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 4240100 is about 2059.1503102008. The cubic root of 4240100 is about 161.8547191141.

Adding to 4240100 its reverse (10424), we get a palindrome (4250524).

It can be divided in two parts, 4 and 240100, that multiplied together give a square (960400 = 980²).

The spelling of 4240100 in words is "four million, two hundred forty thousand, one hundred".