4604712000 has 224 divisors, whose sum is σ = 17377501440. Its totient is φ = 1052467200.

The previous prime is 4604711989. The next prime is 4604712011. The reversal of 4604712000 is 2174064.

It is an interprime number because it is at equal distance from previous prime (4604711989) and next prime (4604712011).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154296 + ... + 181704.

Almost surely, 2^4604712000 is an apocalyptic number.

4604712000 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 4604712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8688750720).

4604712000 is an abundant number, since it is smaller than the sum of its proper divisors (12772789440).

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

4604712000 is a wasteful number, since it uses less digits than its factorization.

4604712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27446 (or 27426 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4604712000 is about 67858.0282649002. The cubic root of 4604712000 is about 1663.6711705383.

Adding to 4604712000 its reverse (2174064), we get a palindrome (4606886064).

The spelling of 4604712000 in words is "four billion, six hundred four million, seven hundred twelve thousand".