406802230560 has 960 divisors, whose sum is σ = 1620301947264. Its totient is φ = 95252889600.

The previous prime is 406802230559. The next prime is 406802230577. The reversal of 406802230560 is 65032208604.

406802230560 is a `hidden beast` number, since 4 + 0 + 68 + 0 + 2 + 2 + 30 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1229009595 + ... + 1229009925.

Almost surely, 2^406802230560 is an apocalyptic number.

406802230560 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 406802230560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810150973632).

406802230560 is an abundant number, since it is smaller than the sum of its proper divisors (1213499716704).

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

406802230560 is a wasteful number, since it uses less digits than its factorization.

406802230560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 406802230560 in words is "four hundred six billion, eight hundred two million, two hundred thirty thousand, five hundred sixty".