406631680 has 144 divisors (see below), whose sum is σ = 1199124864. Its totient is φ = 128655360.

The previous prime is 406631677. The next prime is 406631689. The reversal of 406631680 is 86136604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406631689) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 114735 + ... + 118225.

It is an arithmetic number, because the mean of its divisors is an integer number (8327256).

Almost surely, 2^406631680 is an apocalyptic number.

406631680 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 406631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599562432).

406631680 is an abundant number, since it is smaller than the sum of its proper divisors (792493184).

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

406631680 is a wasteful number, since it uses less digits than its factorization.

406631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 406631680 is about 20165.1104633721. The cubic root of 406631680 is about 740.8558881933.

The spelling of 406631680 in words is "four hundred six million, six hundred thirty-one thousand, six hundred eighty".