4757000 has 64 divisors (see below), whose sum is σ = 11456640. Its totient is φ = 1848000.

The previous prime is 4756937. The next prime is 4757009. The reversal of 4757000 is 7574.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4757009) 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 15 ways as a sum of consecutive naturals, for example, 66965 + ... + 67035.

It is an arithmetic number, because the mean of its divisors is an integer number (179010).

Almost surely, 2^4757000 is an apocalyptic number.

4757000 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 4757000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728320).

4757000 is an abundant number, since it is smaller than the sum of its proper divisors (6699640).

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

4757000 is a wasteful number, since it uses less digits than its factorization.

4757000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 4757000 is about 2181.0547906919. The cubic root of 4757000 is about 168.1813046446.

The spelling of 4757000 in words is "four million, seven hundred fifty-seven thousand".