404616960 has 432 divisors, whose sum is σ = 1591769088. Its totient is φ = 94003200.

The previous prime is 404616959. The next prime is 404616967. The reversal of 404616960 is 69616404.

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 (404616967) 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 47 ways as a sum of consecutive naturals, for example, 3928269 + ... + 3928371.

Almost surely, 2^404616960 is an apocalyptic number.

404616960 is a gapful number since it is divisible by the number (40) 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 404616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795884544).

404616960 is an abundant number, since it is smaller than the sum of its proper divisors (1187152128).

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

404616960 is a wasteful number, since it uses less digits than its factorization.

404616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 404616960 is about 20115.0928409491. The cubic root of 404616960 is about 739.6302998691.

The spelling of 404616960 in words is "four hundred four million, six hundred sixteen thousand, nine hundred sixty".