4712000 has 112 divisors (see below), whose sum is σ = 12679680. Its totient is φ = 1728000.

The previous prime is 4711997. The next prime is 4712003. The reversal of 4712000 is 2174.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4711997) and next prime (4712003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4712003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151985 + ... + 152015.

Almost surely, 2^4712000 is an apocalyptic number.

4712000 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 4712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339840).

4712000 is an abundant number, since it is smaller than the sum of its proper divisors (7967680).

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

4712000 is a wasteful number, since it uses less digits than its factorization.

4712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 4712000 is about 2170.7141681944. The cubic root of 4712000 is about 167.6493062421.

Adding to 4712000 its reverse (2174), we get a palindrome (4714174).

The spelling of 4712000 in words is "four million, seven hundred twelve thousand".