671459040 has 288 divisors, whose sum is σ = 2710169280. Its totient is φ = 148119552.

The previous prime is 671459029. The next prime is 671459053. The reversal of 671459040 is 40954176.

671459040 is a `hidden beast` number, since 67 + 1 + 4 + 590 + 4 + 0 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 671458986 and 671459004.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 291172 + ... + 293468.

It is an arithmetic number, because the mean of its divisors is an integer number (9410310).

Almost surely, 2^671459040 is an apocalyptic number.

671459040 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 671459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355084640).

671459040 is an abundant number, since it is smaller than the sum of its proper divisors (2038710240).

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

671459040 is a wasteful number, since it uses less digits than its factorization.

671459040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 671459040 is about 25912.5267004204. The cubic root of 671459040 is about 875.6687306880.

The spelling of 671459040 in words is "six hundred seventy-one million, four hundred fifty-nine thousand, forty".