464101632 has 216 divisors, whose sum is σ = 1456411320. Its totient is φ = 142049280.

The previous prime is 464101621. The next prime is 464101633. The reversal of 464101632 is 236101464.

464101632 is a `hidden beast` number, since 4 + 641 + 0 + 16 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11943936 + 452157696 = 3456^2 + 21264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 464101596 and 464101605.

It is not an unprimeable number, because it can be changed into a prime (464101633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11319532 + ... + 11319572.

It is an arithmetic number, because the mean of its divisors is an integer number (6742645).

Almost surely, 2^464101632 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 464101632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728205660).

464101632 is an abundant number, since it is smaller than the sum of its proper divisors (992309688).

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

464101632 is an equidigital number, since it uses as much as digits as its factorization.

464101632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 464101632 is about 21543.0181729487. The cubic root of 464101632 is about 774.2318476967.

The spelling of 464101632 in words is "four hundred sixty-four million, one hundred one thousand, six hundred thirty-two".