4640083200 has 162 divisors, whose sum is σ = 16589550614. Its totient is φ = 1237340160.

The previous prime is 4640083183. The next prime is 4640083219. The reversal of 4640083200 is 23800464.

It can be written as a sum of positive squares in 3 ways, for example, as 372335616 + 4267747584 = 19296^2 + 65328^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17322 + ... + 97878.

Almost surely, 2^4640083200 is an apocalyptic number.

4640083200 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 4640083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294775307).

4640083200 is an abundant number, since it is smaller than the sum of its proper divisors (11949467414).

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

4640083200 is a wasteful number, since it uses less digits than its factorization.

4640083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80589 (or 80567 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4640083200 is about 68118.1561699963. The cubic root of 4640083200 is about 1667.9201521393.

Adding to 4640083200 its reverse (23800464), we get a palindrome (4663883664).

It can be divided in two parts, 46400 and 83200, that added together give a square (129600 = 360²).

The spelling of 4640083200 in words is "four billion, six hundred forty million, eighty-three thousand, two hundred".