4659379200 has 792 divisors, whose sum is σ = 19956972672. Its totient is φ = 1055047680.

The previous prime is 4659379147. The next prime is 4659379247. The reversal of 4659379200 is 29739564.

It is a happy number.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 43545547 + ... + 43545653.

Almost surely, 2^4659379200 is an apocalyptic number.

4659379200 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 4659379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9978486336).

4659379200 is an abundant number, since it is smaller than the sum of its proper divisors (15297593472).

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

4659379200 is a wasteful number, since it uses less digits than its factorization.

4659379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 4659379200 is about 68259.6454722701. The cubic root of 4659379200 is about 1670.2289955740.

The spelling of 4659379200 in words is "four billion, six hundred fifty-nine million, three hundred seventy-nine thousand, two hundred".