467633264 has 120 divisors (see below), whose sum is σ = 1107357696. Its totient is φ = 190512000.

The previous prime is 467633261. The next prime is 467633273. The reversal of 467633264 is 462336764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467633261) 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, 1725449 + ... + 1725719.

Almost surely, 2^467633264 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 467633264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553678848).

467633264 is an abundant number, since it is smaller than the sum of its proper divisors (639724432).

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

467633264 is a wasteful number, since it uses less digits than its factorization.

467633264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

The product of its digits is 435456, while the sum is 41.

The square root of 467633264 is about 21624.8298027984. The cubic root of 467633264 is about 776.1907544658.

The spelling of 467633264 in words is "four hundred sixty-seven million, six hundred thirty-three thousand, two hundred sixty-four".