467638944 has 192 divisors, whose sum is σ = 1376040960. Its totient is φ = 138378240.

The previous prime is 467638939. The next prime is 467638961. The reversal of 467638944 is 449836764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2978514 + ... + 2978670.

It is an arithmetic number, because the mean of its divisors is an integer number (7166880).

Almost surely, 2^467638944 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 467638944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688020480).

467638944 is an abundant number, since it is smaller than the sum of its proper divisors (908402016).

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

467638944 is a wasteful number, since it uses less digits than its factorization.

467638944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 275 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The square root of 467638944 is about 21624.9611329130. The cubic root of 467638944 is about 776.1938970606.

The spelling of 467638944 in words is "four hundred sixty-seven million, six hundred thirty-eight thousand, nine hundred forty-four".