467952912 has 120 divisors (see below), whose sum is σ = 1537280576. Its totient is φ = 130076928.

The previous prime is 467952911. The next prime is 467952913. The reversal of 467952912 is 219259764.

467952912 is a `hidden beast` number, since 46 + 79 + 529 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (467952911) and next prime (467952913).

It is not an unprimeable number, because it can be changed into a prime (467952911) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31023 + ... + 43569.

Almost surely, 2^467952912 is an apocalyptic number.

467952912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467952912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768640288).

467952912 is an abundant number, since it is smaller than the sum of its proper divisors (1069327664).

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

467952912 is a wasteful number, since it uses less digits than its factorization.

467952912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12605 (or 12596 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 467952912 is about 21632.2193036221. The cubic root of 467952912 is about 776.3675677451.

It can be divided in two parts, 467952 and 912, that added together give a palindrome (468864).

The spelling of 467952912 in words is "four hundred sixty-seven million, nine hundred fifty-two thousand, nine hundred twelve".