408628064 has 48 divisors (see below), whose sum is σ = 868579488. Its totient is φ = 188116992.

The previous prime is 408628057. The next prime is 408628069. The reversal of 408628064 is 460826804.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408628069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201584 + ... + 203600.

It is an arithmetic number, because the mean of its divisors is an integer number (18095406).

Almost surely, 2^408628064 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 408628064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434289744).

408628064 is an abundant number, since it is smaller than the sum of its proper divisors (459951424).

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

408628064 is a wasteful number, since it uses less digits than its factorization.

408628064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 408628064 is about 20214.5507988676. The cubic root of 408628064 is about 742.0663357359.

The spelling of 408628064 in words is "four hundred eight million, six hundred twenty-eight thousand, sixty-four".