406477350 has 72 divisors (see below), whose sum is σ = 1102221120. Its totient is φ = 107386560.

The previous prime is 406477349. The next prime is 406477387. The reversal of 406477350 is 53774604.

406477350 is a `hidden beast` number, since 4 + 0 + 647 + 7 + 3 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44907 + ... + 53193.

Almost surely, 2^406477350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406477350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551110560).

406477350 is an abundant number, since it is smaller than the sum of its proper divisors (695743770).

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

406477350 is a wasteful number, since it uses less digits than its factorization.

406477350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8414 (or 8406 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 406477350 is about 20161.2834412891. The cubic root of 406477350 is about 740.7621500000.

The spelling of 406477350 in words is "four hundred six million, four hundred seventy-seven thousand, three hundred fifty".