4758000 has 160 divisors (see below), whose sum is σ = 16790592. Its totient is φ = 1152000.

The previous prime is 4757983. The next prime is 4758007. The reversal of 4758000 is 8574.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4758007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77970 + ... + 78030.

Almost surely, 2^4758000 is an apocalyptic number.

4758000 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 4758000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8395296).

4758000 is an abundant number, since it is smaller than the sum of its proper divisors (12032592).

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

4758000 is a wasteful number, since it uses less digits than its factorization.

4758000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 4758000 is about 2181.2840255226. The cubic root of 4758000 is about 168.1930886486.

The spelling of 4758000 in words is "four million, seven hundred fifty-eight thousand".