4757600 has 72 divisors (see below), whose sum is σ = 12264840. Its totient is φ = 1797120.

The previous prime is 4757593. The next prime is 4757609. The reversal of 4757600 is 67574.

4757600 = T₄₁₁ + T₄₁₂ + ... + T₄₆₀.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4757609) 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 11 ways as a sum of consecutive naturals, for example, 15044 + ... + 15356.

It is an arithmetic number, because the mean of its divisors is an integer number (170345).

Almost surely, 2^4757600 is an apocalyptic number.

4757600 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 4757600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132420).

4757600 is an abundant number, since it is smaller than the sum of its proper divisors (7507240).

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

4757600 is a wasteful number, since it uses less digits than its factorization.

4757600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 4757600 is about 2181.1923344813. The cubic root of 4757600 is about 168.1883752452.

It can be divided in two parts, 475 and 7600, that multiplied together give a square (3610000 = 1900²).

The spelling of 4757600 in words is "four million, seven hundred fifty-seven thousand, six hundred".