406829273760 has 2304 divisors, whose sum is σ = 1945965772800. Its totient is φ = 78382080000.

The previous prime is 406829273707. The next prime is 406829273761. The reversal of 406829273760 is 67372928604.

406829273760 is a `hidden beast` number, since 406 + 82 + 92 + 7 + 3 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 406829273697 and 406829273706.

It is not an unprimeable number, because it can be changed into a prime (406829273761) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1620833635 + ... + 1620833885.

It is an arithmetic number, because the mean of its divisors is an integer number (844603200).

Almost surely, 2^406829273760 is an apocalyptic number.

406829273760 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 406829273760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972982886400).

406829273760 is an abundant number, since it is smaller than the sum of its proper divisors (1539136499040).

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

406829273760 is a wasteful number, since it uses less digits than its factorization.

406829273760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 406829273760 in words is "four hundred six billion, eight hundred twenty-nine million, two hundred seventy-three thousand, seven hundred sixty".