463314432 has 160 divisors (see below), whose sum is σ = 1446407424. Its totient is φ = 129024000.

The previous prime is 463314367. The next prime is 463314443. The reversal of 463314432 is 234413364.

It is a super-3 number, since 3×463314432³ (a number of 27 digits) contains 333 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 463314432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440307 + ... + 441357.

Almost surely, 2^463314432 is an apocalyptic number.

463314432 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 463314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723203712).

463314432 is an abundant number, since it is smaller than the sum of its proper divisors (983092992).

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

463314432 is a wasteful number, since it uses less digits than its factorization.

463314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1104 counting only the distinct ones).

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

The square root of 463314432 is about 21524.7399984297. The cubic root of 463314432 is about 773.7938543874.

Adding to 463314432 its reverse (234413364), we get a palindrome (697727796).

The spelling of 463314432 in words is "four hundred sixty-three million, three hundred fourteen thousand, four hundred thirty-two".