675456408 has 112 divisors (see below), whose sum is σ = 2071672200. Its totient is φ = 204664320.

The previous prime is 675456401. The next prime is 675456421. The reversal of 675456408 is 804654576.

675456408 is a `hidden beast` number, since 67 + 545 + 6 + 40 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675456401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 58888 + ... + 69416.

Almost surely, 2^675456408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675456408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035836100).

675456408 is an abundant number, since it is smaller than the sum of its proper divisors (1396215792).

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

675456408 is a wasteful number, since it uses less digits than its factorization.

675456408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10564 (or 10545 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 675456408 is about 25989.5442053146. The cubic root of 675456408 is about 877.4029873027.

The spelling of 675456408 in words is "six hundred seventy-five million, four hundred fifty-six thousand, four hundred eight".