674014400 has 168 divisors, whose sum is σ = 1741602816. Its totient is φ = 256435200.

The previous prime is 674014399. The next prime is 674014403. The reversal of 674014400 is 4410476.

It is a super-2 number, since 2×674014400² = 908590822814720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 674014400.

It is not an unprimeable number, because it can be changed into a prime (674014403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5307137 + ... + 5307263.

Almost surely, 2^674014400 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 674014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870801408).

674014400 is an abundant number, since it is smaller than the sum of its proper divisors (1067588416).

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

674014400 is a wasteful number, since it uses less digits than its factorization.

674014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 674014400 is about 25961.7873036507. The cubic root of 674014400 is about 876.7781635832.

Adding to 674014400 its reverse (4410476), we get a palindrome (678424876).

The spelling of 674014400 in words is "six hundred seventy-four million, fourteen thousand, four hundred".