4753600 has 42 divisors (see below), whose sum is σ = 11700764. Its totient is φ = 1900800.

The previous prime is 4753589. The next prime is 4753601. The reversal of 4753600 is 63574.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4753601) 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, 115 + ... + 3085.

Almost surely, 2^4753600 is an apocalyptic number.

4753600 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 4753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850382).

4753600 is an abundant number, since it is smaller than the sum of its proper divisors (6947164).

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

4753600 is a wasteful number, since it uses less digits than its factorization.

4753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 4753600 is about 2180.2752119859. The cubic root of 4753600 is about 168.1412266737.

The spelling of 4753600 in words is "four million, seven hundred fifty-three thousand, six hundred".