4757120 has 32 divisors (see below), whose sum is σ = 11374020. Its totient is φ = 1902592.

The previous prime is 4757119. The next prime is 4757147. The reversal of 4757120 is 217574.

It can be written as a sum of positive squares in 2 ways, for example, as 4227136 + 529984 = 2056^2 + 728^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4757120.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3077 + ... + 4356.

Almost surely, 2^4757120 is an apocalyptic number.

4757120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4757120 is an abundant number, since it is smaller than the sum of its proper divisors (6616900).

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

4757120 is an equidigital number, since it uses as much as digits as its factorization.

4757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7452 (or 7440 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 4757120 is about 2181.0823001437. The cubic root of 4757120 is about 168.1827188123.

The spelling of 4757120 in words is "four million, seven hundred fifty-seven thousand, one hundred twenty".