464538816 has 252 divisors, whose sum is σ = 1573469040. Its totient is φ = 130636800.

The previous prime is 464538779. The next prime is 464538817. The reversal of 464538816 is 618835464.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (464538817) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3076341 + ... + 3076491.

Almost surely, 2^464538816 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 464538816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786734520).

464538816 is an abundant number, since it is smaller than the sum of its proper divisors (1108930224).

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

464538816 is a wasteful number, since it uses less digits than its factorization.

464538816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 272 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 464538816 is about 21553.1625521639. The cubic root of 464538816 is about 774.4748803466.

The spelling of 464538816 in words is "four hundred sixty-four million, five hundred thirty-eight thousand, eight hundred sixteen".