462133632 has 128 divisors (see below), whose sum is σ = 1272348000. Its totient is φ = 148520960.

The previous prime is 462133631. The next prime is 462133643. The reversal of 462133632 is 236331264.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×462133632² = 427134987651022848, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 462133632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462133631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2345758 + ... + 2345954.

Almost surely, 2^462133632 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 462133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636174000).

462133632 is an abundant number, since it is smaller than the sum of its proper divisors (810214368).

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

462133632 is a wasteful number, since it uses less digits than its factorization.

462133632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 392 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 462133632 is about 21497.2935971019. The cubic root of 462133632 is about 773.1359332336.

Adding to 462133632 its reverse (236331264), we get a palindrome (698464896).

The spelling of 462133632 in words is "four hundred sixty-two million, one hundred thirty-three thousand, six hundred thirty-two".