467751312 has 120 divisors (see below), whose sum is σ = 1544424960. Its totient is φ = 129323520.

The previous prime is 467751307. The next prime is 467751331. The reversal of 467751312 is 213157764.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 23764 + ... + 38732.

It is an arithmetic number, because the mean of its divisors is an integer number (12870208).

Almost surely, 2^467751312 is an apocalyptic number.

467751312 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 467751312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772212480).

467751312 is an abundant number, since it is smaller than the sum of its proper divisors (1076673648).

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

467751312 is a wasteful number, since it uses less digits than its factorization.

467751312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15021 (or 15012 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 467751312 is about 21627.5590855741. The cubic root of 467751312 is about 776.2560620934.

The spelling of 467751312 in words is "four hundred sixty-seven million, seven hundred fifty-one thousand, three hundred twelve".