405328896 has 264 divisors, whose sum is σ = 1372701824. Its totient is φ = 112803840.

The previous prime is 405328883. The next prime is 405328921. The reversal of 405328896 is 698823504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3935181 + ... + 3935283.

Almost surely, 2^405328896 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 405328896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686350912).

405328896 is an abundant number, since it is smaller than the sum of its proper divisors (967372928).

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

405328896 is a wasteful number, since it uses less digits than its factorization.

405328896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 405328896 is about 20132.7816259950. The cubic root of 405328896 is about 740.0638464513.

The spelling of 405328896 in words is "four hundred five million, three hundred twenty-eight thousand, eight hundred ninety-six".