467264736 has 144 divisors (see below), whose sum is σ = 1383782400. Its totient is φ = 149402880.

The previous prime is 467264731. The next prime is 467264747. The reversal of 467264736 is 637462764.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 467264691 and 467264700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467264731) 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, 1776541 + ... + 1776803.

It is an arithmetic number, because the mean of its divisors is an integer number (9609600).

Almost surely, 2^467264736 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 467264736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691891200).

467264736 is an abundant number, since it is smaller than the sum of its proper divisors (916517664).

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

467264736 is a wasteful number, since it uses less digits than its factorization.

467264736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 498 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 467264736 is about 21616.3071776842. The cubic root of 467264736 is about 775.9868031907.

The spelling of 467264736 in words is "four hundred sixty-seven million, two hundred sixty-four thousand, seven hundred thirty-six".