689274400 has 144 divisors (see below), whose sum is σ = 1789572960. Its totient is φ = 258508800.

The previous prime is 689274379. The next prime is 689274409. The reversal of 689274400 is 4472986.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (689274409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2082235 + ... + 2082565.

It is an arithmetic number, because the mean of its divisors is an integer number (12427590).

Almost surely, 2^689274400 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 689274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894786480).

689274400 is an abundant number, since it is smaller than the sum of its proper divisors (1100298560).

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

689274400 is a wasteful number, since it uses less digits than its factorization.

689274400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 689274400 is about 26254.0358802223. The cubic root of 689274400 is about 883.3457345674.

The spelling of 689274400 in words is "six hundred eighty-nine million, two hundred seventy-four thousand, four hundred".