462061632 has 112 divisors (see below), whose sum is σ = 1319369472. Its totient is φ = 142172160.

The previous prime is 462061597. The next prime is 462061637. The reversal of 462061632 is 236160264.

It is a self number, because there is not a number n which added to its sum of digits gives 462061632.

It is not an unprimeable number, because it can be changed into a prime (462061637) 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, 171657 + ... + 174327.

Almost surely, 2^462061632 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 462061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659684736).

462061632 is an abundant number, since it is smaller than the sum of its proper divisors (857307840).

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

462061632 is a wasteful number, since it uses less digits than its factorization.

462061632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 462061632 is about 21495.6189024648. The cubic root of 462061632 is about 773.0957798562.

The spelling of 462061632 in words is "four hundred sixty-two million, sixty-one thousand, six hundred thirty-two".