4632000 has 112 divisors (see below), whose sum is σ = 15374112. Its totient is φ = 1228800.

The previous prime is 4631999. The next prime is 4632011. The reversal of 4632000 is 2364.

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 15 ways as a sum of consecutive naturals, for example, 23904 + ... + 24096.

Almost surely, 2^4632000 is an apocalyptic number.

4632000 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 4632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7687056).

4632000 is an abundant number, since it is smaller than the sum of its proper divisors (10742112).

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

4632000 is a wasteful number, since it uses less digits than its factorization.

4632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4632000 is about 2152.2081683703. The cubic root of 4632000 is about 166.6951062580.

Adding to 4632000 its reverse (2364), we get a palindrome (4634364).

The spelling of 4632000 in words is "four million, six hundred thirty-two thousand".