406632960 has 400 divisors, whose sum is σ = 1524016296. Its totient is φ = 103514112.

The previous prime is 406632959. The next prime is 406633001. The reversal of 406632960 is 69236604.

It can be written as a sum of positive squares in 4 ways, for example, as 400640256 + 5992704 = 20016^2 + 2448^2 .

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7672294 + ... + 7672346.

Almost surely, 2^406632960 is an apocalyptic number.

406632960 is a gapful number since it is divisible by the number (40) 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 406632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762008148).

406632960 is an abundant number, since it is smaller than the sum of its proper divisors (1117383336).

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

406632960 is an equidigital number, since it uses as much as digits as its factorization.

406632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 406632960 is about 20165.1422013335. The cubic root of 406632960 is about 740.8566655508.

The spelling of 406632960 in words is "four hundred six million, six hundred thirty-two thousand, nine hundred sixty".