406580832 has 216 divisors, whose sum is σ = 1375841376. Its totient is φ = 113508864.

The previous prime is 406580831. The next prime is 406580849. The reversal of 406580832 is 238085604.

406580832 is a `hidden beast` number, since 40 + 6 + 580 + 8 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406580831) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 662958 + ... + 663570.

It is an arithmetic number, because the mean of its divisors is an integer number (6369636).

Almost surely, 2^406580832 is an apocalyptic number.

406580832 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 406580832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687920688).

406580832 is an abundant number, since it is smaller than the sum of its proper divisors (969260544).

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

406580832 is a wasteful number, since it uses less digits than its factorization.

406580832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 406580832 is about 20163.8496324487. The cubic root of 406580832 is about 740.8250063475.

The spelling of 406580832 in words is "four hundred six million, five hundred eighty thousand, eight hundred thirty-two".