404864064 has 252 divisors, whose sum is σ = 1318376332. Its totient is φ = 118609920.

The previous prime is 404864029. The next prime is 404864071. The reversal of 404864064 is 460468404.

404864064 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 640 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 250905600 + 153958464 = 15840^2 + 12408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2578674 + ... + 2578830.

Almost surely, 2^404864064 is an apocalyptic number.

404864064 is a gapful number since it is divisible by the number (44) 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 404864064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659188166).

404864064 is an abundant number, since it is smaller than the sum of its proper divisors (913512268).

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

404864064 is a wasteful number, since it uses less digits than its factorization.

404864064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 404864064 is about 20121.2341569795. The cubic root of 404864064 is about 739.7808359980.

It can be divided in two parts, 404 and 864064, that added together give a palindrome (864468).

The spelling of 404864064 in words is "four hundred four million, eight hundred sixty-four thousand, sixty-four".