406986432 has 56 divisors (see below), whose sum is σ = 1079601600. Its totient is φ = 135311616.

The previous prime is 406986427. The next prime is 406986457. The reversal of 406986432 is 234689604.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77919 + ... + 82977.

It is an arithmetic number, because the mean of its divisors is an integer number (19278600).

Almost surely, 2^406986432 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 406986432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539800800).

406986432 is an abundant number, since it is smaller than the sum of its proper divisors (672615168).

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

406986432 is a wasteful number, since it uses less digits than its factorization.

406986432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5493 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 406986432 is about 20173.9047286340. The cubic root of 406986432 is about 741.0712704246.

The spelling of 406986432 in words is "four hundred six million, nine hundred eighty-six thousand, four hundred thirty-two".