406480197888 has 864 divisors, whose sum is σ = 1322943777792. Its totient is φ = 124216934400.

The previous prime is 406480197883. The next prime is 406480197899. The reversal of 406480197888 is 888791084604.

406480197888 is a `hidden beast` number, since 4 + 0 + 6 + 480 + 1 + 9 + 78 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (406480197883) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4190517456 + ... + 4190517552.

It is an arithmetic number, because the mean of its divisors is an integer number (1531184928).

Almost surely, 2^406480197888 is an apocalyptic number.

406480197888 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 406480197888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661471888896).

406480197888 is an abundant number, since it is smaller than the sum of its proper divisors (916463579904).

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

406480197888 is an equidigital number, since it uses as much as digits as its factorization.

406480197888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 406480197888 in words is "four hundred six billion, four hundred eighty million, one hundred ninety-seven thousand, eight hundred eighty-eight".