463024324 has 81 divisors (see below), whose sum is σ = 994975527. Its totient is φ = 187981248.

The previous prime is 463024321. The next prime is 463024333. The reversal of 463024324 is 423420364.

The square root of 463024324 is 21518.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 29052100 + 433972224 = 5390^2 + 20832^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 463024292 and 463024301.

It is not an unprimeable number, because it can be changed into a prime (463024321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8736282 + ... + 8736334.

Almost surely, 2^463024324 is an apocalyptic number.

463024324 is the 21518-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463024324

463024324 is an abundant number, since it is smaller than the sum of its proper divisors (531951203).

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

463024324 is a wasteful number, since it uses less digits than its factorization.

463024324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The cubic root of 463024324 is about 773.6323149501.

Adding to 463024324 its reverse (423420364), we get a palindrome (886444688).

The spelling of 463024324 in words is "four hundred sixty-three million, twenty-four thousand, three hundred twenty-four".