4874000 has 40 divisors (see below), whose sum is σ = 11790168. Its totient is φ = 1948800.

The previous prime is 4873997. The next prime is 4874003. The reversal of 4874000 is 4784.

It is an interprime number because it is at equal distance from previous prime (4873997) and next prime (4874003).

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 4857616 = 128^2 + 2204^2 .

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

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4874003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 782 + ... + 3218.

Almost surely, 2^4874000 is an apocalyptic number.

4874000 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 4874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895084).

4874000 is an abundant number, since it is smaller than the sum of its proper divisors (6916168).

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

4874000 is a wasteful number, since it uses less digits than its factorization.

4874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 4874000 is about 2207.7137495608. The cubic root of 4874000 is about 169.5489774726.

Adding to 4874000 its reverse (4784), we get a palindrome (4878784).

The spelling of 4874000 in words is "four million, eight hundred seventy-four thousand".