4641400 has 48 divisors (see below), whose sum is σ = 11271600. Its totient is φ = 1774080.

The previous prime is 4641397. The next prime is 4641401. The reversal of 4641400 is 41464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4641401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4096 + ... + 5104.

It is an arithmetic number, because the mean of its divisors is an integer number (234825).

Almost surely, 2^4641400 is an apocalyptic number.

4641400 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 4641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5635800).

4641400 is an abundant number, since it is smaller than the sum of its proper divisors (6630200).

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

4641400 is a wasteful number, since it uses less digits than its factorization.

4641400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4641400 is about 2154.3908651867. The cubic root of 4641400 is about 166.8077915799.

Adding to 4641400 its reverse (41464), we get a palindrome (4682864).

It can be divided in two parts, 4641 and 400, that added together give a square (5041 = 71²).

The spelling of 4641400 in words is "four million, six hundred forty-one thousand, four hundred".