674654400 has 672 divisors, whose sum is σ = 2963143680. Its totient is φ = 145981440.

The previous prime is 674654389. The next prime is 674654417. The reversal of 674654400 is 4456476.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 6955152 + ... + 6955248.

It is an arithmetic number, because the mean of its divisors is an integer number (4409440).

Almost surely, 2^674654400 is an apocalyptic number.

674654400 is a gapful number since it is divisible by the number (60) 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 674654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481571840).

674654400 is an abundant number, since it is smaller than the sum of its proper divisors (2288489280).

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

674654400 is a wasteful number, since it uses less digits than its factorization.

674654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 674654400 is about 25974.1101868765. The cubic root of 674654400 is about 877.0555861979.

The spelling of 674654400 in words is "six hundred seventy-four million, six hundred fifty-four thousand, four hundred".