641408352 has 192 divisors, whose sum is σ = 1910200320. Its totient is φ = 187084800.

The previous prime is 641408281. The next prime is 641408377. The reversal of 641408352 is 253804146.

It is a super-2 number, since 2×641408352² = 822809348030711808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2282452 + ... + 2282732.

It is an arithmetic number, because the mean of its divisors is an integer number (9948960).

Almost surely, 2^641408352 is an apocalyptic number.

641408352 is a gapful number since it is divisible by the number (62) 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 641408352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955100160).

641408352 is an abundant number, since it is smaller than the sum of its proper divisors (1268791968).

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

641408352 is a wasteful number, since it uses less digits than its factorization.

641408352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 641408352 is about 25326.0409855153. The cubic root of 641408352 is about 862.4055384051.

The spelling of 641408352 in words is "six hundred forty-one million, four hundred eight thousand, three hundred fifty-two".