408225172608 has 384 divisors, whose sum is σ = 1305993312000. Its totient is φ = 121356195840.

The previous prime is 408225172571. The next prime is 408225172609. The reversal of 408225172608 is 806271522804.

408225172608 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 25 + 17 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (408225172609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240272943 + ... + 240274641.

It is an arithmetic number, because the mean of its divisors is an integer number (3401024250).

Almost surely, 2^408225172608 is an apocalyptic number.

408225172608 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 408225172608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652996656000).

408225172608 is an abundant number, since it is smaller than the sum of its proper divisors (897768139392).

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

408225172608 is a wasteful number, since it uses less digits than its factorization.

408225172608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 408225172608 in words is "four hundred eight billion, two hundred twenty-five million, one hundred seventy-two thousand, six hundred eight".