408454244352 has 2016 divisors, whose sum is σ = 1714423838400. Its totient is φ = 94595973120.

The previous prime is 408454244321. The next prime is 408454244353. The reversal of 408454244352 is 253442454804.

408454244352 is a `hidden beast` number, since 4 + 0 + 8 + 4 + 54 + 244 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a junction number, because it is equal to n+sod(n) for n = 408454244298 and 408454244307.

It is not an unprimeable number, because it can be changed into a prime (408454244353) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 21497591799 + ... + 21497591817.

It is an arithmetic number, because the mean of its divisors is an integer number (850408650).

Almost surely, 2^408454244352 is an apocalyptic number.

408454244352 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 408454244352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857211919200).

408454244352 is an abundant number, since it is smaller than the sum of its proper divisors (1305969594048).

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

408454244352 is a wasteful number, since it uses less digits than its factorization.

408454244352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 45.

The spelling of 408454244352 in words is "four hundred eight billion, four hundred fifty-four million, two hundred forty-four thousand, three hundred fifty-two".