462852132 has 48 divisors (see below), whose sum is σ = 1149043392. Its totient is φ = 144506880.

The previous prime is 462852119. The next prime is 462852133. The reversal of 462852132 is 231258264.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 462852093 and 462852102.

It is not an unprimeable number, because it can be changed into a prime (462852133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37668 + ... + 48420.

It is an arithmetic number, because the mean of its divisors is an integer number (23938404).

Almost surely, 2^462852132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462852132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574521696).

462852132 is an abundant number, since it is smaller than the sum of its proper divisors (686191260).

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

462852132 is a wasteful number, since it uses less digits than its factorization.

462852132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10988 (or 10986 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 462852132 is about 21513.9985125964. The cubic root of 462852132 is about 773.5364021975.

The spelling of 462852132 in words is "four hundred sixty-two million, eight hundred fifty-two thousand, one hundred thirty-two".