1671978400 has 108 divisors (see below), whose sum is σ = 4142652822. Its totient is φ = 658936320.

The previous prime is 1671978313. The next prime is 1671978419. The reversal of 1671978400 is 48791761.

It can be written as a sum of positive squares in 3 ways, for example, as 1597121296 + 74857104 = 39964^2 + 8652^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8487102 + ... + 8487298.

Almost surely, 2^1671978400 is an apocalyptic number.

1671978400 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 1671978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071326411).

1671978400 is an abundant number, since it is smaller than the sum of its proper divisors (2470674422).

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

1671978400 is a wasteful number, since it uses less digits than its factorization.

1671978400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 43.

The square root of 1671978400 is about 40889.8324770352. The cubic root of 1671978400 is about 1186.8893170293.

The spelling of 1671978400 in words is "one billion, six hundred seventy-one million, nine hundred seventy-eight thousand, four hundred".