404616 has 32 divisors (see below), whose sum is σ = 1056960. Its totient is φ = 128832.

The previous prime is 404597. The next prime is 404671. The reversal of 404616 is 616404.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 404592 and 404601.

It is an unprimeable number.

404616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186 + ... + 918.

It is an arithmetic number, because the mean of its divisors is an integer number (33030).

2⁴⁰⁴⁶¹⁶ is an apocalyptic number.

404616 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 404616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528480).

404616 is an abundant number, since it is smaller than the sum of its proper divisors (652344).

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

404616 is a wasteful number, since it uses less digits than its factorization.

404616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 404616 is about 636.0943326269. The cubic root of 404616 is about 73.9629714916.

It can be divided in two parts, 40 and 4616, that added together give a triangular number (4656 = T₉₆).

The spelling of 404616 in words is "four hundred four thousand, six hundred sixteen".