404648016 has 160 divisors (see below), whose sum is σ = 1165639680. Its totient is φ = 120384000.

The previous prime is 404647987. The next prime is 404648077. The reversal of 404648016 is 610846404.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2118481 + ... + 2118671.

It is an arithmetic number, because the mean of its divisors is an integer number (7285248).

Almost surely, 2^404648016 is an apocalyptic number.

404648016 is a gapful number since it is divisible by the number (46) 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 404648016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582819840).

404648016 is an abundant number, since it is smaller than the sum of its proper divisors (760991664).

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

404648016 is a wasteful number, since it uses less digits than its factorization.

404648016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 404648016 is about 20115.8647837969. The cubic root of 404648016 is about 739.6492225978.

The spelling of 404648016 in words is "four hundred four million, six hundred forty-eight thousand, sixteen".