462765312 has 216 divisors, whose sum is σ = 1424046624. Its totient is φ = 149796864.

The previous prime is 462765293. The next prime is 462765343. The reversal of 462765312 is 213567264.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

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, 2674858 + ... + 2675030.

Almost surely, 2^462765312 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 462765312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712023312).

462765312 is an abundant number, since it is smaller than the sum of its proper divisors (961281312).

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

462765312 is an equidigital number, since it uses as much as digits as its factorization.

462765312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 221 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 462765312 is about 21511.9806619474. The cubic root of 462765312 is about 773.4880335247.

The spelling of 462765312 in words is "four hundred sixty-two million, seven hundred sixty-five thousand, three hundred twelve".