406560528 has 240 divisors, whose sum is σ = 1307344896. Its totient is φ = 116847360.

The previous prime is 406560527. The next prime is 406560529. The reversal of 406560528 is 825065604.

406560528 is a `hidden beast` number, since 40 + 6 + 5 + 605 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (406560527) and next prime (406560529).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 406560492 and 406560501.

It is not an unprimeable number, because it can be changed into a prime (406560521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3201201 + ... + 3201327.

Almost surely, 2^406560528 is an apocalyptic number.

406560528 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 406560528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653672448).

406560528 is an abundant number, since it is smaller than the sum of its proper divisors (900784368).

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

406560528 is a wasteful number, since it uses less digits than its factorization.

406560528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 406560528 is about 20163.3461508749. The cubic root of 406560528 is about 740.8126742681.

The spelling of 406560528 in words is "four hundred six million, five hundred sixty thousand, five hundred twenty-eight".