463143456 has 144 divisors (see below), whose sum is σ = 1422308160. Its totient is φ = 142517760.

The previous prime is 463143431. The next prime is 463143469. The reversal of 463143456 is 654341364.

463143456 is a `hidden beast` number, since 4 + 63 + 143 + 456 = 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 self number, because there is not a number n which added to its sum of digits gives 463143456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190891 + ... + 193301.

It is an arithmetic number, because the mean of its divisors is an integer number (9877140).

Almost surely, 2^463143456 is an apocalyptic number.

463143456 is a gapful number since it is divisible by the number (46) 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 463143456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711154080).

463143456 is an abundant number, since it is smaller than the sum of its proper divisors (959164704).

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

463143456 is a wasteful number, since it uses less digits than its factorization.

463143456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2468 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 463143456 is about 21520.7680160351. The cubic root of 463143456 is about 773.6986588094.

It can be divided in two parts, 46314 and 3456, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 463143456 in words is "four hundred sixty-three million, one hundred forty-three thousand, four hundred fifty-six".