4704000 has 216 divisors, whose sum is σ = 18175248. Its totient is φ = 1075200.

The previous prime is 4703987. The next prime is 4704013. The reversal of 4704000 is 4074.

It is an interprime number because it is at equal distance from previous prime (4703987) and next prime (4704013).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 671997 + ... + 672003.

Almost surely, 2^4704000 is an apocalyptic number.

4704000 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 4704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9087624).

4704000 is an abundant number, since it is smaller than the sum of its proper divisors (13471248).

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

4704000 is an equidigital number, since it uses as much as digits as its factorization.

4704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 4704000 is about 2168.8706738762. The cubic root of 4704000 is about 167.5543745648.

Multiplying 4704000 by its sum of digits (15), we get a square (70560000 = 8400²).

4704000 divided by its sum of digits (15) gives a square (313600 = 560²).

Adding to 4704000 its reverse (4074), we get a palindrome (4708074).

The spelling of 4704000 in words is "four million, seven hundred four thousand".