4745600 has 48 divisors (see below), whose sum is σ = 11731020. Its totient is φ = 1896960.

The previous prime is 4745597. The next prime is 4745603. The reversal of 4745600 is 65474.

It is an interprime number because it is at equal distance from previous prime (4745597) and next prime (4745603).

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 4745600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4745603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2459 + ... + 3941.

Almost surely, 2^4745600 is an apocalyptic number.

4745600 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 4745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5865510).

4745600 is an abundant number, since it is smaller than the sum of its proper divisors (6985420).

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

4745600 is a wasteful number, since it uses less digits than its factorization.

4745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 4745600 is about 2178.4398086704. The cubic root of 4745600 is about 168.0468501234.

The spelling of 4745600 in words is "four million, seven hundred forty-five thousand, six hundred".