463563072 has 168 divisors, whose sum is σ = 1608100416. Its totient is φ = 124637184.

The previous prime is 463563041. The next prime is 463563077. The reversal of 463563072 is 270365364.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463563077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65163 + ... + 71925.

Almost surely, 2^463563072 is an apocalyptic number.

463563072 is a gapful number since it is divisible by the number (42) 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 463563072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804050208).

463563072 is an abundant number, since it is smaller than the sum of its proper divisors (1144537344).

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

463563072 is a wasteful number, since it uses less digits than its factorization.

463563072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6805 (or 6792 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 463563072 is about 21530.5149032716. The cubic root of 463563072 is about 773.9322497436.

The spelling of 463563072 in words is "four hundred sixty-three million, five hundred sixty-three thousand, seventy-two".