467731968 has 320 divisors, whose sum is σ = 1508474880. Its totient is φ = 127180800.

The previous prime is 467731967. The next prime is 467731993. The reversal of 467731968 is 869137764.

It is a self number, because there is not a number n which added to its sum of digits gives 467731968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467731967) 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, 9951721 + ... + 9951767.

It is an arithmetic number, because the mean of its divisors is an integer number (4713984).

Almost surely, 2^467731968 is an apocalyptic number.

467731968 is a gapful number since it is divisible by the number (48) 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 467731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754237440).

467731968 is an abundant number, since it is smaller than the sum of its proper divisors (1040742912).

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

467731968 is a wasteful number, since it uses less digits than its factorization.

467731968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 51.

The square root of 467731968 is about 21627.1118737570. Note that the first 3 decimals coincide. The cubic root of 467731968 is about 776.2453611761.

The spelling of 467731968 in words is "four hundred sixty-seven million, seven hundred thirty-one thousand, nine hundred sixty-eight".