674400 has 72 divisors (see below), whose sum is σ = 2202984. Its totient is φ = 179200.

The previous prime is 674393. The next prime is 674419. The reversal of 674400 is 4476.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2260 + ... + 2540.

It is an arithmetic number, because the mean of its divisors is an integer number (30597).

2⁶⁷⁴⁴⁰⁰ is an apocalyptic number.

674400 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 674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101492).

674400 is an abundant number, since it is smaller than the sum of its proper divisors (1528584).

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

674400 is a wasteful number, since it uses less digits than its factorization.

674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 674400 is about 821.2186067059. The cubic root of 674400 is about 87.6945331727.

Adding to 674400 its reverse (4476), we get a palindrome (678876).

The spelling of 674400 in words is "six hundred seventy-four thousand, four hundred".