463814424 has 160 divisors (see below), whose sum is σ = 1348966080. Its totient is φ = 148801536.

The previous prime is 463814419. The next prime is 463814431. The reversal of 463814424 is 424418364.

463814424 is a `hidden beast` number, since 4 + 638 + 14 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2954154 + ... + 2954310.

It is an arithmetic number, because the mean of its divisors is an integer number (8431038).

Almost surely, 2^463814424 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 463814424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674483040).

463814424 is an abundant number, since it is smaller than the sum of its proper divisors (885151656).

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

463814424 is a wasteful number, since it uses less digits than its factorization.

463814424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 463814424 is about 21536.3512229904. The cubic root of 463814424 is about 774.0721043337.

It can be divided in two parts, 46381 and 4424, that added together give a palindrome (50805).

The spelling of 463814424 in words is "four hundred sixty-three million, eight hundred fourteen thousand, four hundred twenty-four".