4651600 has 60 divisors (see below), whose sum is σ = 11589660. Its totient is φ = 1792000.

The previous prime is 4651597. The next prime is 4651601. The reversal of 4651600 is 61564.

It can be written as a sum of positive squares in 6 ways, for example, as 207936 + 4443664 = 456^2 + 2108^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4651601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11400 + ... + 11800.

It is an arithmetic number, because the mean of its divisors is an integer number (193161).

Almost surely, 2^4651600 is an apocalyptic number.

4651600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4651600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5794830).

4651600 is an abundant number, since it is smaller than the sum of its proper divisors (6938060).

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

4651600 is a wasteful number, since it uses less digits than its factorization.

4651600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 4651600 is about 2156.7568244937. The cubic root of 4651600 is about 166.9298951568.

The spelling of 4651600 in words is "four million, six hundred fifty-one thousand, six hundred".