4579243200 has 672 divisors, whose sum is σ = 20107046400. Its totient is φ = 990351360.

The previous prime is 4579243187. The next prime is 4579243211. The reversal of 4579243200 is 23429754.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5745202 + ... + 5745998.

It is an arithmetic number, because the mean of its divisors is an integer number (29921200).

Almost surely, 2^4579243200 is an apocalyptic number.

4579243200 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 4579243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10053523200).

4579243200 is an abundant number, since it is smaller than the sum of its proper divisors (15527803200).

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

4579243200 is a wasteful number, since it uses less digits than its factorization.

4579243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4579243200 is about 67670.1056597372. The cubic root of 4579243200 is about 1660.5982263475.

The spelling of 4579243200 in words is "four billion, five hundred seventy-nine million, two hundred forty-three thousand, two hundred".