406576478960 has 160 divisors (see below), whose sum is σ = 979109208000. Its totient is φ = 156936019968.

The previous prime is 406576478953. The next prime is 406576478981. The reversal of 406576478960 is 69874675604.

It is a super-2 number, since 2×406576478960² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 406576478893 and 406576478902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64237076 + ... + 64243404.

It is an arithmetic number, because the mean of its divisors is an integer number (6119432550).

Almost surely, 2^406576478960 is an apocalyptic number.

406576478960 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 406576478960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489554604000).

406576478960 is an abundant number, since it is smaller than the sum of its proper divisors (572532729040).

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

406576478960 is a wasteful number, since it uses less digits than its factorization.

406576478960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6643 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 62.

The spelling of 406576478960 in words is "four hundred six billion, five hundred seventy-six million, four hundred seventy-eight thousand, nine hundred sixty".