641382400 has 72 divisors (see below), whose sum is σ = 1590366960. Its totient is φ = 256532480.

The previous prime is 641382361. The next prime is 641382403. The reversal of 641382400 is 4283146.

It is a super-2 number, since 2×641382400² = 822742766059520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641382403) 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 5 ways as a sum of consecutive naturals, for example, 44937 + ... + 57463.

It is an arithmetic number, because the mean of its divisors is an integer number (22088430).

Almost surely, 2^641382400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795183480).

641382400 is an abundant number, since it is smaller than the sum of its proper divisors (948984560).

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

641382400 is a wasteful number, since it uses less digits than its factorization.

641382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12559 (or 12534 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 641382400 is about 25325.5286223210. The cubic root of 641382400 is about 862.3939069952.

The spelling of 641382400 in words is "six hundred forty-one million, three hundred eighty-two thousand, four hundred".