404746064 has 40 divisors (see below), whose sum is σ = 832446720. Its totient is φ = 189982208.

The previous prime is 404746063. The next prime is 404746109. The reversal of 404746064 is 460647404.

It is a super-3 number, since 3×404746064³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404746061) 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, 118817 + ... + 122175.

It is an arithmetic number, because the mean of its divisors is an integer number (20811168).

Almost surely, 2^404746064 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 404746064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416223360).

404746064 is an abundant number, since it is smaller than the sum of its proper divisors (427700656).

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

404746064 is a wasteful number, since it uses less digits than its factorization.

404746064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The square root of 404746064 is about 20118.3017175904. The cubic root of 404746064 is about 739.7089578636.

The spelling of 404746064 in words is "four hundred four million, seven hundred forty-six thousand, sixty-four".