408740064 has 48 divisors (see below), whose sum is σ = 1080696960. Its totient is φ = 135262080.

The previous prime is 408740063. The next prime is 408740083. The reversal of 408740064 is 460047804.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408740063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1972 + ... + 28659.

It is an arithmetic number, because the mean of its divisors is an integer number (22514520).

Almost surely, 2^408740064 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 408740064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540348480).

408740064 is an abundant number, since it is smaller than the sum of its proper divisors (671956896).

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

408740064 is a wasteful number, since it uses less digits than its factorization.

408740064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30783 (or 30775 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 408740064 is about 20217.3208907610. The cubic root of 408740064 is about 742.1341266725.

Adding to 408740064 its reverse (460047804), we get a palindrome (868787868).

The spelling of 408740064 in words is "four hundred eight million, seven hundred forty thousand, sixty-four".