1671479040 has 288 divisors, whose sum is σ = 6656702976. Its totient is φ = 347258880.

The previous prime is 1671478979. The next prime is 1671479041. The reversal of 1671479040 is 409741761.

It is a self number, because there is not a number n which added to its sum of digits gives 1671479040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1671479041) 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 31 ways as a sum of consecutive naturals, for example, 292854 + ... + 298506.

It is an arithmetic number, because the mean of its divisors is an integer number (23113552).

Almost surely, 2^1671479040 is an apocalyptic number.

1671479040 is a gapful number since it is divisible by the number (10) 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 1671479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328351488).

1671479040 is an abundant number, since it is smaller than the sum of its proper divisors (4985223936).

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

1671479040 is a wasteful number, since it uses less digits than its factorization.

1671479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5695 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 1671479040 is about 40883.7258576074. The cubic root of 1671479040 is about 1186.7711448361.

The spelling of 1671479040 in words is "one billion, six hundred seventy-one million, four hundred seventy-nine thousand, forty".