4620541200 has 240 divisors, whose sum is σ = 16237056000. Its totient is φ = 1113868800.

The previous prime is 4620541199. The next prime is 4620541223. The reversal of 4620541200 is 21450264.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2625921 + ... + 2627679.

It is an arithmetic number, because the mean of its divisors is an integer number (67654400).

Almost surely, 2^4620541200 is an apocalyptic number.

4620541200 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 4620541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8118528000).

4620541200 is an abundant number, since it is smaller than the sum of its proper divisors (11616514800).

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

4620541200 is a wasteful number, since it uses less digits than its factorization.

4620541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4620541200 is about 67974.5628893633. The cubic root of 4620541200 is about 1665.5753406716.

Adding to 4620541200 its reverse (21450264), we get a palindrome (4641991464).

The spelling of 4620541200 in words is "four billion, six hundred twenty million, five hundred forty-one thousand, two hundred".