463022784 has 224 divisors, whose sum is σ = 1575206400. Its totient is φ = 130636800.

The previous prime is 463022783. The next prime is 463022827. The reversal of 463022784 is 487220364.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×463022784² = 428780197006221312, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (463022783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1221507 + ... + 1221885.

Almost surely, 2^463022784 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 463022784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787603200).

463022784 is an abundant number, since it is smaller than the sum of its proper divisors (1112183616).

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

463022784 is a wasteful number, since it uses less digits than its factorization.

463022784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 463022784 is about 21517.9642159755. The cubic root of 463022784 is about 773.6314572593.

The spelling of 463022784 in words is "four hundred sixty-three million, twenty-two thousand, seven hundred eighty-four".