1671828480 has 528 divisors, whose sum is σ = 6805603584. Its totient is φ = 371589120.

The previous prime is 1671828427. The next prime is 1671828523. The reversal of 1671828480 is 848281761.

1671828480 is a `hidden beast` number, since 167 + 1 + 8 + 2 + 8 + 480 = 666.

It is a super-2 number, since 2×1671828480² = 5590020933078220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22901724 + ... + 22901796.

Almost surely, 2^1671828480 is an apocalyptic number.

1671828480 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 1671828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402801792).

1671828480 is an abundant number, since it is smaller than the sum of its proper divisors (5133775104).

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

1671828480 is a wasteful number, since it uses less digits than its factorization.

1671828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1671828480 is about 40887.9992173743. Note that the first 3 decimals coincide. The cubic root of 1671828480 is about 1186.8538413388.

The spelling of 1671828480 in words is "one billion, six hundred seventy-one million, eight hundred twenty-eight thousand, four hundred eighty".