406950516 has 144 divisors (see below), whose sum is σ = 1226953728. Its totient is φ = 111283200.

The previous prime is 406950503. The next prime is 406950541. The reversal of 406950516 is 615059604.

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

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 47 ways as a sum of consecutive naturals, for example, 882526 + ... + 882986.

It is an arithmetic number, because the mean of its divisors is an integer number (8520512).

Almost surely, 2^406950516 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 406950516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613476864).

406950516 is an abundant number, since it is smaller than the sum of its proper divisors (820003212).

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

406950516 is a wasteful number, since it uses less digits than its factorization.

406950516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 406950516 is about 20173.0145491446. The cubic root of 406950516 is about 741.0494702722.

The spelling of 406950516 in words is "four hundred six million, nine hundred fifty thousand, five hundred sixteen".