4794600 has 96 divisors (see below), whose sum is σ = 15222240. Its totient is φ = 1248000.

The previous prime is 4794577. The next prime is 4794607. The reversal of 4794600 is 64974.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4794607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36535 + ... + 36665.

It is an arithmetic number, because the mean of its divisors is an integer number (158565).

Almost surely, 2^4794600 is an apocalyptic number.

4794600 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 4794600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611120).

4794600 is an abundant number, since it is smaller than the sum of its proper divisors (10427640).

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

4794600 is a wasteful number, since it uses less digits than its factorization.

4794600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4794600 is about 2189.6575074655. The cubic root of 4794600 is about 168.6232518741.

The spelling of 4794600 in words is "four million, seven hundred ninety-four thousand, six hundred".