406724516352 has 1280 divisors, whose sum is σ = 1612182528000. Its totient is φ = 98099527680.

The previous prime is 406724516287. The next prime is 406724516353. The reversal of 406724516352 is 253615427604.

406724516352 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 2 + 4 + 5 + 1 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 406724516298 and 406724516307.

It is not an unprimeable number, because it can be changed into a prime (406724516353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 905845024 + ... + 905845472.

It is an arithmetic number, because the mean of its divisors is an integer number (1259517600).

Almost surely, 2^406724516352 is an apocalyptic number.

406724516352 is a gapful number since it is divisible by the number (42) 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 406724516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806091264000).

406724516352 is an abundant number, since it is smaller than the sum of its proper divisors (1205458011648).

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

406724516352 is a wasteful number, since it uses less digits than its factorization.

406724516352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 406724516352 in words is "four hundred six billion, seven hundred twenty-four million, five hundred sixteen thousand, three hundred fifty-two".