463164064 has 96 divisors (see below), whose sum is σ = 1092994560. Its totient is φ = 190713600.

The previous prime is 463164029. The next prime is 463164067. The reversal of 463164064 is 460461364.

It is not an unprimeable number, because it can be changed into a prime (463164067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152319 + ... + 155329.

It is an arithmetic number, because the mean of its divisors is an integer number (11385360).

Almost surely, 2^463164064 is an apocalyptic number.

463164064 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 463164064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546497280).

463164064 is an abundant number, since it is smaller than the sum of its proper divisors (629830496).

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

463164064 is a wasteful number, since it uses less digits than its factorization.

463164064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 463164064 is about 21521.2468040307. The cubic root of 463164064 is about 773.7101341203.

The spelling of 463164064 in words is "four hundred sixty-three million, one hundred sixty-four thousand, sixty-four".