406493780160 has 336 divisors, whose sum is σ = 1401546087936. Its totient is φ = 99772747776.

The previous prime is 406493780123. The next prime is 406493780179. The reversal of 406493780160 is 61087394604.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59538667 + ... + 59545493.

Almost surely, 2^406493780160 is an apocalyptic number.

406493780160 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 406493780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700773043968).

406493780160 is an abundant number, since it is smaller than the sum of its proper divisors (995052307776).

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

406493780160 is a wasteful number, since it uses less digits than its factorization.

406493780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7240 (or 7217 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 406493780160 in words is "four hundred six billion, four hundred ninety-three million, seven hundred eighty thousand, one hundred sixty".