463924832 has 96 divisors (see below), whose sum is σ = 1143616320. Its totient is φ = 180633600.

The previous prime is 463924829. The next prime is 463924837. The reversal of 463924832 is 238429364.

463924832 = 29² + 30² + ... + 1116².

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 463924832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463924837) 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, 108332 + ... + 112532.

It is an arithmetic number, because the mean of its divisors is an integer number (11912670).

Almost surely, 2^463924832 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 463924832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571808160).

463924832 is an abundant number, since it is smaller than the sum of its proper divisors (679691488).

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

463924832 is a wasteful number, since it uses less digits than its factorization.

463924832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264 (or 4256 counting only the distinct ones).

The product of its digits is 248832, while the sum is 41.

The square root of 463924832 is about 21538.9143644706. The cubic root of 463924832 is about 774.1335204001.

The spelling of 463924832 in words is "four hundred sixty-three million, nine hundred twenty-four thousand, eight hundred thirty-two".