1684932480 has 768 divisors, whose sum is σ = 7561382400. Its totient is φ = 335462400.

The previous prime is 1684932479. The next prime is 1684932493. The reversal of 1684932480 is 842394861.

1684932480 = T₃₇₄ + T₃₇₅ + ... + T₂₁₆₅.

It is a happy number.

1684932480 is a `hidden beast` number, since 1 + 6 + 84 + 93 + 2 + 480 = 666.

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 95 ways as a sum of consecutive naturals, for example, 12862015 + ... + 12862145.

It is an arithmetic number, because the mean of its divisors is an integer number (9845550).

Almost surely, 2^1684932480 is an apocalyptic number.

1684932480 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 1684932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780691200).

1684932480 is an abundant number, since it is smaller than the sum of its proper divisors (5876449920).

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

1684932480 is a wasteful number, since it uses less digits than its factorization.

1684932480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1684932480 is about 41047.9290586017. The cubic root of 1684932480 is about 1189.9466774591.

The spelling of 1684932480 in words is "one billion, six hundred eighty-four million, nine hundred thirty-two thousand, four hundred eighty".