406284432 has 80 divisors (see below), whose sum is σ = 1106447040. Its totient is φ = 128267776.

The previous prime is 406284349. The next prime is 406284433. The reversal of 406284432 is 234482604.

It is a junction number, because it is equal to n+sod(n) for n = 406284393 and 406284402.

It is not an unprimeable number, because it can be changed into a prime (406284433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71023 + ... + 76529.

It is an arithmetic number, because the mean of its divisors is an integer number (13830588).

Almost surely, 2^406284432 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 406284432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553223520).

406284432 is an abundant number, since it is smaller than the sum of its proper divisors (700162608).

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

406284432 is a wasteful number, since it uses less digits than its factorization.

406284432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5600 (or 5594 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 406284432 is about 20156.4985054448. The cubic root of 406284432 is about 740.6449405445.

The spelling of 406284432 in words is "four hundred six million, two hundred eighty-four thousand, four hundred thirty-two".