467904576 has 112 divisors (see below), whose sum is σ = 1290076160. Its totient is φ = 149506560.

The previous prime is 467904557. The next prime is 467904601. The reversal of 467904576 is 675409764.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755595 + ... + 756213.

Almost surely, 2^467904576 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 467904576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645038080).

467904576 is an abundant number, since it is smaller than the sum of its proper divisors (822171584).

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

467904576 is a wasteful number, since it uses less digits than its factorization.

467904576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 467904576 is about 21631.1020523689. The cubic root of 467904576 is about 776.3408358568.

The spelling of 467904576 in words is "four hundred sixty-seven million, nine hundred four thousand, five hundred seventy-six".