463534016 has 56 divisors (see below), whose sum is σ = 1007492016. Its totient is φ = 209848320.

The previous prime is 463533991. The next prime is 463534037. The reversal of 463534016 is 610435364.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193820 + ... + 196196.

Almost surely, 2^463534016 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 463534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503746008).

463534016 is an abundant number, since it is smaller than the sum of its proper divisors (543958000).

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

463534016 is a wasteful number, since it uses less digits than its factorization.

463534016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 463534016 is about 21529.8401294575. The cubic root of 463534016 is about 773.9160794554.

The spelling of 463534016 in words is "four hundred sixty-three million, five hundred thirty-four thousand, sixteen".