462431424 has 336 divisors, whose sum is σ = 1621536000. Its totient is φ = 114960384.

The previous prime is 462431407. The next prime is 462431447. The reversal of 462431424 is 424134264.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 462431391 and 462431400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2323677 + ... + 2323875.

It is an arithmetic number, because the mean of its divisors is an integer number (4826000).

Almost surely, 2^462431424 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 462431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810768000).

462431424 is an abundant number, since it is smaller than the sum of its proper divisors (1159104576).

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

462431424 is a wasteful number, since it uses less digits than its factorization.

462431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 243 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 462431424 is about 21504.2187488874. The cubic root of 462431424 is about 773.3019633199.

Adding to 462431424 its reverse (424134264), we get a palindrome (886565688).

The spelling of 462431424 in words is "four hundred sixty-two million, four hundred thirty-one thousand, four hundred twenty-four".