674415456 has 144 divisors (see below), whose sum is σ = 2091821760. Its totient is φ = 188597760.

The previous prime is 674415433. The next prime is 674415463. The reversal of 674415456 is 654514476.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 176575 + ... + 180353.

It is an arithmetic number, because the mean of its divisors is an integer number (14526540).

Almost surely, 2^674415456 is an apocalyptic number.

674415456 is a gapful number since it is divisible by the number (66) 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 674415456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045910880).

674415456 is an abundant number, since it is smaller than the sum of its proper divisors (1417406304).

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

674415456 is a wasteful number, since it uses less digits than its factorization.

674415456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3808 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 674415456 is about 25969.5101224494. The cubic root of 674415456 is about 876.9520309970.

The spelling of 674415456 in words is "six hundred seventy-four million, four hundred fifteen thousand, four hundred fifty-six".