4641000 has 256 divisors, whose sum is σ = 18869760. Its totient is φ = 921600.

The previous prime is 4640989. The next prime is 4641001. The reversal of 4641000 is 1464.

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

It is not an unprimeable number, because it can be changed into a prime (4641001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272992 + ... + 273008.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

Almost surely, 2^4641000 is an apocalyptic number.

4641000 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 4641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

4641000 is an abundant number, since it is smaller than the sum of its proper divisors (14228760).

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

4641000 is a wasteful number, since it uses less digits than its factorization.

4641000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4641000 is about 2154.2980295214. The cubic root of 4641000 is about 166.8029995608.

Adding to 4641000 its reverse (1464), we get a palindrome (4642464).

The spelling of 4641000 in words is "four million, six hundred forty-one thousand".