1832985252 has 288 divisors, whose sum is σ = 5919513600. Its totient is φ = 466373376.

The previous prime is 1832985241. The next prime is 1832985277. The reversal of 1832985252 is 2525892381.

1832985252 is a `hidden beast` number, since 1 + 8 + 32 + 98 + 525 + 2 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1832985198 and 1832985207.

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, 5970483 + ... + 5970789.

Almost surely, 2^1832985252 is an apocalyptic number.

1832985252 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 1832985252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959756800).

1832985252 is an abundant number, since it is smaller than the sum of its proper divisors (4086528348).

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

1832985252 is a wasteful number, since it uses less digits than its factorization.

1832985252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 410 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 1832985252 is about 42813.3770216740. The cubic root of 1832985252 is about 1223.8259476334.

The spelling of 1832985252 in words is "one billion, eight hundred thirty-two million, nine hundred eighty-five thousand, two hundred fifty-two".