674294400 has 288 divisors, whose sum is σ = 2592555420. Its totient is φ = 165888000.

The previous prime is 674294389. The next prime is 674294417. The reversal of 674294400 is 4492476.

It can be written as a sum of positive squares in 6 ways, for example, as 38044224 + 636250176 = 6168^2 + 25224^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 373500 + ... + 375300.

Almost surely, 2^674294400 is an apocalyptic number.

674294400 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 674294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296277710).

674294400 is an abundant number, since it is smaller than the sum of its proper divisors (1918261020).

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

674294400 is a wasteful number, since it uses less digits than its factorization.

674294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 674294400 is about 25967.1792846277. The cubic root of 674294400 is about 876.8995575765.

The spelling of 674294400 in words is "six hundred seventy-four million, two hundred ninety-four thousand, four hundred".