4616900 has 36 divisors (see below), whose sum is σ = 10121748. Its totient is φ = 1827840.

The previous prime is 4616893. The next prime is 4616929. The reversal of 4616900 is 96164.

4616900 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 6 ways, for example, as 215296 + 4401604 = 464^2 + 2098^2 .

It is a super-2 number, since 2×4616900² = 42631531220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4616900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13532 + ... + 13868.

Almost surely, 2^4616900 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 4616900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5060874).

4616900 is an abundant number, since it is smaller than the sum of its proper divisors (5504848).

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

4616900 is a wasteful number, since it uses less digits than its factorization.

4616900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 4616900 is about 2148.6972797488. The cubic root of 4616900 is about 166.5137708913.

The spelling of 4616900 in words is "four million, six hundred sixteen thousand, nine hundred".