406228280760 has 448 divisors, whose sum is σ = 1413858631680. Its totient is φ = 104934009600.

The previous prime is 406228280747. The next prime is 406228280761. The reversal of 406228280760 is 67082822604.

406228280760 is a `hidden beast` number, since 406 + 22 + 82 + 80 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406228280761) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 159241485 + ... + 159244035.

Almost surely, 2^406228280760 is an apocalyptic number.

406228280760 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 406228280760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706929315840).

406228280760 is an abundant number, since it is smaller than the sum of its proper divisors (1007630350920).

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

406228280760 is a wasteful number, since it uses less digits than its factorization.

406228280760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 406228280760 in words is "four hundred six billion, two hundred twenty-eight million, two hundred eighty thousand, seven hundred sixty".