464882832 has 60 divisors (see below), whose sum is σ = 1308616764. Its totient is φ = 154056960.

The previous prime is 464882827. The next prime is 464882839. The reversal of 464882832 is 238288464.

It can be written as a sum of positive squares in 2 ways, for example, as 231526656 + 233356176 = 15216^2 + 15276^2 .

It is a super-2 number, since 2×464882832² = 432232094976680448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (464882839) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15582 + ... + 34242.

Almost surely, 2^464882832 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 464882832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654308382).

464882832 is an abundant number, since it is smaller than the sum of its proper divisors (843733932).

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

464882832 is a wasteful number, since it uses less digits than its factorization.

464882832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18848 (or 18839 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 464882832 is about 21561.1417137405. The cubic root of 464882832 is about 774.6660132863. Note that the first 3 decimals are identical.

The spelling of 464882832 in words is "four hundred sixty-four million, eight hundred eighty-two thousand, eight hundred thirty-two".