406488432 has 160 divisors (see below), whose sum is σ = 1294917120. Its totient is φ = 107274240.

The previous prime is 406488431. The next prime is 406488449. The reversal of 406488432 is 234884604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406488431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260968 + ... + 262520.

It is an arithmetic number, because the mean of its divisors is an integer number (8093232).

Almost surely, 2^406488432 is an apocalyptic number.

406488432 is a gapful number since it is divisible by the number (42) 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 406488432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647458560).

406488432 is an abundant number, since it is smaller than the sum of its proper divisors (888428688).

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

406488432 is a wasteful number, since it uses less digits than its factorization.

406488432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 406488432 is about 20161.5582731097. The cubic root of 406488432 is about 740.7688818647.

The spelling of 406488432 in words is "four hundred six million, four hundred eighty-eight thousand, four hundred thirty-two".