4754000 has 40 divisors (see below), whose sum is σ = 11500008. Its totient is φ = 1900800.

The previous prime is 4753997. The next prime is 4754011. The reversal of 4754000 is 4574.

It can be written as a sum of positive squares in 4 ways, for example, as 327184 + 4426816 = 572^2 + 2104^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 812 + ... + 3188.

Almost surely, 2^4754000 is an apocalyptic number.

4754000 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 4754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750004).

4754000 is an abundant number, since it is smaller than the sum of its proper divisors (6746008).

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

4754000 is a wasteful number, since it uses less digits than its factorization.

4754000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 4754000 is about 2180.3669415949. The cubic root of 4754000 is about 168.1459427208.

Adding to 4754000 its reverse (4574), we get a palindrome (4758574).

The spelling of 4754000 in words is "four million, seven hundred fifty-four thousand".