404321064 has 128 divisors (see below), whose sum is σ = 1287705600. Its totient is φ = 102988800.

The previous prime is 404321053. The next prime is 404321087. The reversal of 404321064 is 460123404.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 50539 + ... + 57989.

It is an arithmetic number, because the mean of its divisors is an integer number (10060200).

Almost surely, 2^404321064 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 404321064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643852800).

404321064 is an abundant number, since it is smaller than the sum of its proper divisors (883384536).

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

404321064 is a wasteful number, since it uses less digits than its factorization.

404321064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7503 (or 7499 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 404321064 is about 20107.7364215866. The cubic root of 404321064 is about 739.4499589214.

Adding to 404321064 its reverse (460123404), we get a palindrome (864444468).

The spelling of 404321064 in words is "four hundred four million, three hundred twenty-one thousand, sixty-four".