4756000 has 96 divisors (see below), whose sum is σ = 12383280. Its totient is φ = 1792000.

The previous prime is 4755979. The next prime is 4756013. The reversal of 4756000 is 6574.

It can be written as a sum of positive squares in 8 ways, for example, as 38416 + 4717584 = 196^2 + 2172^2 .

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115980 + ... + 116020.

Almost surely, 2^4756000 is an apocalyptic number.

4756000 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 4756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).

4756000 is an abundant number, since it is smaller than the sum of its proper divisors (7627280).

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

4756000 is a wasteful number, since it uses less digits than its factorization.

4756000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 4756000 is about 2180.8255317654. The cubic root of 4756000 is about 168.1695189890.

The spelling of 4756000 in words is "four million, seven hundred fifty-six thousand".