468974112 has 96 divisors (see below), whose sum is σ = 1331064000. Its totient is φ = 144073728.

The previous prime is 468974101. The next prime is 468974137. The reversal of 468974112 is 211479864.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 64014 + ... + 70962.

It is an arithmetic number, because the mean of its divisors is an integer number (13865250).

Almost surely, 2^468974112 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 468974112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665532000).

468974112 is an abundant number, since it is smaller than the sum of its proper divisors (862089888).

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

468974112 is a wasteful number, since it uses less digits than its factorization.

468974112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7018 (or 7010 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 468974112 is about 21655.8101210737. The cubic root of 468974112 is about 776.9319055359.

The spelling of 468974112 in words is "four hundred sixty-eight million, nine hundred seventy-four thousand, one hundred twelve".