406297071648 has 288 divisors, whose sum is σ = 1323180711216. Its totient is φ = 117151432704.

The previous prime is 406297071637. The next prime is 406297071667. The reversal of 406297071648 is 846170792604.

406297071648 is a `hidden beast` number, since 4 + 0 + 629 + 7 + 0 + 7 + 1 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 164598981264 + 241698090384 = 405708^2 + 491628^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 406297071594 and 406297071603.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14816286 + ... + 14843682.

Almost surely, 2^406297071648 is an apocalyptic number.

406297071648 is a gapful number since it is divisible by the number (48) 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 406297071648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661590355608).

406297071648 is an abundant number, since it is smaller than the sum of its proper divisors (916883639568).

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

406297071648 is a wasteful number, since it uses less digits than its factorization.

406297071648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27676 (or 27665 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 406297071648 in words is "four hundred six billion, two hundred ninety-seven million, seventy-one thousand, six hundred forty-eight".