405520768 has 32 divisors (see below), whose sum is σ = 813262320. Its totient is φ = 201408000.

The previous prime is 405520733. The next prime is 405520769. The reversal of 405520768 is 867025504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405520769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8838 + ... + 29818.

Almost surely, 2^405520768 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 405520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406631160).

405520768 is an abundant number, since it is smaller than the sum of its proper divisors (407741552).

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

405520768 is a wasteful number, since it uses less digits than its factorization.

405520768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21146 (or 21134 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 405520768 is about 20137.5462258936. The cubic root of 405520768 is about 740.1806035932.

The spelling of 405520768 in words is "four hundred five million, five hundred twenty thousand, seven hundred sixty-eight".