641535400 has 96 divisors (see below), whose sum is σ = 1638064800. Its totient is φ = 231724800.

The previous prime is 641535371. The next prime is 641535403. The reversal of 641535400 is 4535146.

It is not an unprimeable number, because it can be changed into a prime (641535403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357706 + ... + 359494.

It is an arithmetic number, because the mean of its divisors is an integer number (17063175).

Almost surely, 2^641535400 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 641535400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819032400).

641535400 is an abundant number, since it is smaller than the sum of its proper divisors (996529400).

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

641535400 is a wasteful number, since it uses less digits than its factorization.

641535400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 641535400 is about 25328.5491096510. The cubic root of 641535400 is about 862.4624754381.

The spelling of 641535400 in words is "six hundred forty-one million, five hundred thirty-five thousand, four hundred".