464792832 has 324 divisors, whose sum is σ = 1635772320. Its totient is φ = 126314496.

The previous prime is 464792821. The next prime is 464792833. The reversal of 464792832 is 238297464.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464792833) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2596519 + ... + 2596697.

It is an arithmetic number, because the mean of its divisors is an integer number (5048680).

Almost surely, 2^464792832 is an apocalyptic number.

464792832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464792832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817886160).

464792832 is an abundant number, since it is smaller than the sum of its proper divisors (1170979488).

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

464792832 is a wasteful number, since it uses less digits than its factorization.

464792832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 464792832 is about 21559.0545247235. The cubic root of 464792832 is about 774.6160190110.

It can be divided in two parts, 4647 and 92832, that added together give a palindrome (97479).

The spelling of 464792832 in words is "four hundred sixty-four million, seven hundred ninety-two thousand, eight hundred thirty-two".