462628332 has 72 divisors (see below), whose sum is σ = 1211438592. Its totient is φ = 148764000.

The previous prime is 462628301. The next prime is 462628333. The reversal of 462628332 is 233826264.

462628332 is a `hidden beast` number, since 4 + 626 + 28 + 3 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (462628333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118207 + ... + 122057.

It is an arithmetic number, because the mean of its divisors is an integer number (16825536).

Almost surely, 2^462628332 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 462628332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605719296).

462628332 is an abundant number, since it is smaller than the sum of its proper divisors (748810260).

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

462628332 is a wasteful number, since it uses less digits than its factorization.

462628332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3974 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 462628332 is about 21508.7966190580. The cubic root of 462628332 is about 773.4117076896.

The spelling of 462628332 in words is "four hundred sixty-two million, six hundred twenty-eight thousand, three hundred thirty-two".