464205632 has 56 divisors (see below), whose sum is σ = 1010728992. Its totient is φ = 209779200.

The previous prime is 464205617. The next prime is 464205673. The reversal of 464205632 is 236502464.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125603 + ... + 129245.

It is an arithmetic number, because the mean of its divisors is an integer number (18048732).

Almost surely, 2^464205632 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 464205632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505364496).

464205632 is an abundant number, since it is smaller than the sum of its proper divisors (546523360).

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

464205632 is a wasteful number, since it uses less digits than its factorization.

464205632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 464205632 is about 21545.4318127997. The cubic root of 464205632 is about 774.2896756183.

The spelling of 464205632 in words is "four hundred sixty-four million, two hundred five thousand, six hundred thirty-two".