4791600 has 180 divisors, whose sum is σ = 18289752. Its totient is φ = 1161600.

The previous prime is 4791559. The next prime is 4791623. The reversal of 4791600 is 61974.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 435595 + ... + 435605.

Almost surely, 2^4791600 is an apocalyptic number.

4791600 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 4791600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144876).

4791600 is an abundant number, since it is smaller than the sum of its proper divisors (13498152).

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

4791600 is a wasteful number, since it uses less digits than its factorization.

4791600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 4791600 is about 2188.9723616346. The cubic root of 4791600 is about 168.5880751266.

The spelling of 4791600 in words is "four million, seven hundred ninety-one thousand, six hundred".