4650100 has 108 divisors (see below), whose sum is σ = 12814284. Its totient is φ = 1451520.

The previous prime is 4650077. The next prime is 4650101. The reversal of 4650100 is 10564.

It can be written as a sum of positive squares in 6 ways, for example, as 414736 + 4235364 = 644^2 + 2058^2 .

It is a super-3 number, since 3×4650100³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4650101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63664 + ... + 63736.

Almost surely, 2^4650100 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 4650100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6407142).

4650100 is an abundant number, since it is smaller than the sum of its proper divisors (8164184).

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

4650100 is a wasteful number, since it uses less digits than its factorization.

4650100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 4650100 is about 2156.4090521049. The cubic root of 4650100 is about 166.9119499507.

Adding to 4650100 its reverse (10564), we get a palindrome (4660664).

The spelling of 4650100 in words is "four million, six hundred fifty thousand, one hundred".