4611004800 has 192 divisors, whose sum is σ = 15258167760. Its totient is φ = 1223884800.

The previous prime is 4611004793. The next prime is 4611004807. The reversal of 4611004800 is 84001164.

It is an interprime number because it is at equal distance from previous prime (4611004793) and next prime (4611004807).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×4611004800³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4611004807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2312604 + ... + 2314596.

Almost surely, 2^4611004800 is an apocalyptic number.

4611004800 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 4611004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7629083880).

4611004800 is an abundant number, since it is smaller than the sum of its proper divisors (10647162960).

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

4611004800 is a wasteful number, since it uses less digits than its factorization.

4611004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 4611004800 is about 67904.3798292864. The cubic root of 4611004800 is about 1664.4286833145.

Adding to 4611004800 its reverse (84001164), we get a palindrome (4695005964).

The spelling of 4611004800 in words is "four billion, six hundred eleven million, four thousand, eight hundred".