1682474472 has 192 divisors, whose sum is σ = 5720832000. Its totient is φ = 435549312.

The previous prime is 1682474467. The next prime is 1682474473. The reversal of 1682474472 is 2744742861.

1682474472 is a `hidden beast` number, since 168 + 2 + 47 + 447 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1682474473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216429 + ... + 224067.

It is an arithmetic number, because the mean of its divisors is an integer number (29796000).

Almost surely, 2^1682474472 is an apocalyptic number.

1682474472 is a gapful number since it is divisible by the number (12) 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 1682474472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860416000).

1682474472 is an abundant number, since it is smaller than the sum of its proper divisors (4038357528).

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

1682474472 is a wasteful number, since it uses less digits than its factorization.

1682474472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7700 (or 7693 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 1682474472 is about 41017.9774245391. The cubic root of 1682474472 is about 1189.3677577421.

The spelling of 1682474472 in words is "one billion, six hundred eighty-two million, four hundred seventy-four thousand, four hundred seventy-two".