462623232 has 80 divisors (see below), whose sum is σ = 1237420800. Its totient is φ = 153587712.

The previous prime is 462623221. The next prime is 462623237. The reversal of 462623232 is 232326264.

It is a super-2 number, since 2×462623232² = 428040509572251648, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 462623232.

It is not an unprimeable number, because it can be changed into a prime (462623237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 535633 + ... + 536495.

It is an arithmetic number, because the mean of its divisors is an integer number (15467760).

Almost surely, 2^462623232 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 462623232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618710400).

462623232 is an abundant number, since it is smaller than the sum of its proper divisors (774797568).

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

462623232 is an equidigital number, since it uses as much as digits as its factorization.

462623232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1217 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 462623232 is about 21508.6780625867. The cubic root of 462623232 is about 773.4088656572.

Adding to 462623232 its reverse (232326264), we get a palindrome (694949496).

It can be divided in two parts, 4626232 and 32, that added together give a palindrome (4626264).

The spelling of 462623232 in words is "four hundred sixty-two million, six hundred twenty-three thousand, two hundred thirty-two".