463456224 has 144 divisors (see below), whose sum is σ = 1643241600. Its totient is φ = 120372480.

The previous prime is 463456211. The next prime is 463456241. The reversal of 463456224 is 422654364.

463456224 is a `hidden beast` number, since 46 + 34 + 562 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11727 + ... + 32625.

It is an arithmetic number, because the mean of its divisors is an integer number (11411400).

Almost surely, 2^463456224 is an apocalyptic number.

463456224 is a gapful number since it is divisible by the number (44) 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 463456224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821620800).

463456224 is an abundant number, since it is smaller than the sum of its proper divisors (1179785376).

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

463456224 is a wasteful number, since it uses less digits than its factorization.

463456224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20933 (or 20922 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 463456224 is about 21528.0334447901. The cubic root of 463456224 is about 773.8727832098.

The spelling of 463456224 in words is "four hundred sixty-three million, four hundred fifty-six thousand, two hundred twenty-four".