404963328 has 240 divisors, whose sum is σ = 1358913024. Its totient is φ = 104202240.

The previous prime is 404963309. The next prime is 404963333. The reversal of 404963328 is 823369404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3784651 + ... + 3784757.

Almost surely, 2^404963328 is an apocalyptic number.

404963328 is a gapful number since it is divisible by the number (48) 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 404963328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679456512).

404963328 is an abundant number, since it is smaller than the sum of its proper divisors (953949696).

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

404963328 is a wasteful number, since it uses less digits than its factorization.

404963328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 404963328 is about 20123.7006537068. The cubic root of 404963328 is about 739.8412905315.

The spelling of 404963328 in words is "four hundred four million, nine hundred sixty-three thousand, three hundred twenty-eight".