4799541600 has 432 divisors, whose sum is σ = 20064215808. Its totient is φ = 1096727040.

The previous prime is 4799541599. The next prime is 4799541601. The reversal of 4799541600 is 61459974.

4799541600 is a `hidden beast` number, since 47 + 9 + 9 + 541 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4799541599) and next prime (4799541601).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4799541601) 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 71 ways as a sum of consecutive naturals, for example, 1359037 + ... + 1362563.

It is an arithmetic number, because the mean of its divisors is an integer number (46444944).

Almost surely, 2^4799541600 is an apocalyptic number.

4799541600 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 4799541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10032107904).

4799541600 is an abundant number, since it is smaller than the sum of its proper divisors (15264674208).

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

4799541600 is a wasteful number, since it uses less digits than its factorization.

4799541600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 4799541600 is about 69278.7240067252. The cubic root of 4799541600 is about 1686.8116303476.

The spelling of 4799541600 in words is "four billion, seven hundred ninety-nine million, five hundred forty-one thousand, six hundred".