671590440 has 320 divisors, whose sum is σ = 2434568400. Its totient is φ = 165445632.

The previous prime is 671590429. The next prime is 671590453. The reversal of 671590440 is 44095176.

671590440 is a `hidden beast` number, since 67 + 1 + 590 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 305480484 + 366109956 = 17478^2 + 19134^2 .

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 = 671590395 and 671590404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4902052 + ... + 4902188.

Almost surely, 2^671590440 is an apocalyptic number.

671590440 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 671590440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217284200).

671590440 is an abundant number, since it is smaller than the sum of its proper divisors (1762977960).

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

671590440 is a wasteful number, since it uses less digits than its factorization.

671590440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 253 counting only the distinct ones).

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

The square root of 671590440 is about 25915.0620296383. The cubic root of 671590440 is about 875.7258477815.

The spelling of 671590440 in words is "six hundred seventy-one million, five hundred ninety thousand, four hundred forty".