406441728 has 432 divisors, whose sum is σ = 1530547200. Its totient is φ = 100638720.

The previous prime is 406441723. The next prime is 406441769. The reversal of 406441728 is 827144604.

406441728 is a `hidden beast` number, since 4 + 0 + 644 + 1 + 7 + 2 + 8 = 666.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 406441692 and 406441701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406441723) 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, 5144793 + ... + 5144871.

Almost surely, 2^406441728 is an apocalyptic number.

406441728 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 406441728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765273600).

406441728 is an abundant number, since it is smaller than the sum of its proper divisors (1124105472).

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

406441728 is a wasteful number, since it uses less digits than its factorization.

406441728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 406441728 is about 20160.3999960318. The cubic root of 406441728 is about 740.7405102538.

The spelling of 406441728 in words is "four hundred six million, four hundred forty-one thousand, seven hundred twenty-eight".