404616006 has 64 divisors (see below), whose sum is σ = 914457600. Its totient is φ = 132598368.

The previous prime is 404615993. The next prime is 404616019. The reversal of 404616006 is 600616404.

404616006 is a `hidden beast` number, since 40 + 4 + 616 + 0 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (404615993) and next prime (404616019).

It is a super-2 number, since 2×404616006² = 327428224622784072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

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, 1380796 + ... + 1381088.

It is an arithmetic number, because the mean of its divisors is an integer number (14288400).

Almost surely, 2^404616006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404616006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

404616006 is an abundant number, since it is smaller than the sum of its proper divisors (509841594).

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

404616006 is a wasteful number, since it uses less digits than its factorization.

404616006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 404616006 is about 20115.0691273980. The cubic root of 404616006 is about 739.6297185721.

The spelling of 404616006 in words is "four hundred four million, six hundred sixteen thousand, six".