467489664 has 256 divisors, whose sum is σ = 1494504000. Its totient is φ = 143327232.

The previous prime is 467489663. The next prime is 467489669. The reversal of 467489664 is 466984764.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 467489664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467489663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4288842 + ... + 4288950.

Almost surely, 2^467489664 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 467489664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747252000).

467489664 is an abundant number, since it is smaller than the sum of its proper divisors (1027014336).

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

467489664 is a wasteful number, since it uses less digits than its factorization.

467489664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 467489664 is about 21621.5092905190. The cubic root of 467489664 is about 776.1112959014. Note that the first 3 decimals are identical.

The spelling of 467489664 in words is "four hundred sixty-seven million, four hundred eighty-nine thousand, six hundred sixty-four".