4741600 has 36 divisors (see below), whose sum is σ = 11577384. Its totient is φ = 1896320.

The previous prime is 4741579. The next prime is 4741601. The reversal of 4741600 is 61474.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4741601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2164 + ... + 3763.

It is an arithmetic number, because the mean of its divisors is an integer number (321594).

Almost surely, 2^4741600 is an apocalyptic number.

4741600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4741600 is an abundant number, since it is smaller than the sum of its proper divisors (6835784).

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

4741600 is a wasteful number, since it uses less digits than its factorization.

4741600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5947 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 4741600 is about 2177.5215268741. The cubic root of 4741600 is about 167.9996220702. Note that the first 3 decimals are identical.

The spelling of 4741600 in words is "four million, seven hundred forty-one thousand, six hundred".