404814816 has 144 divisors (see below), whose sum is σ = 1328037984. Its totient is φ = 114573312.

The previous prime is 404814811. The next prime is 404814859. The reversal of 404814816 is 618418404.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×404814816² = 327750070506227712, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404814811) 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 23 ways as a sum of consecutive naturals, for example, 226920 + ... + 228696.

It is an arithmetic number, because the mean of its divisors is an integer number (9222486).

Almost surely, 2^404814816 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 404814816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664018992).

404814816 is an abundant number, since it is smaller than the sum of its proper divisors (923223168).

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

404814816 is a wasteful number, since it uses less digits than its factorization.

404814816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 404814816 is about 20120.0103379695. The cubic root of 404814816 is about 739.7508389306.

The spelling of 404814816 in words is "four hundred four million, eight hundred fourteen thousand, eight hundred sixteen".