462712320 has 480 divisors, whose sum is σ = 1940590080. Its totient is φ = 99532800.

The previous prime is 462712291. The next prime is 462712351. The reversal of 462712320 is 23217264.

462712320 is a `hidden beast` number, since 4 + 627 + 1 + 2 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3064245 + ... + 3064395.

It is an arithmetic number, because the mean of its divisors is an integer number (4042896).

Almost surely, 2^462712320 is an apocalyptic number.

462712320 is a gapful number since it is divisible by the number (40) 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 462712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970295040).

462712320 is an abundant number, since it is smaller than the sum of its proper divisors (1477877760).

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

462712320 is a wasteful number, since it uses less digits than its factorization.

462712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 462712320 is about 21510.7489409365. The cubic root of 462712320 is about 773.4585079448.

Adding to 462712320 its reverse (23217264), we get a palindrome (485929584).

The spelling of 462712320 in words is "four hundred sixty-two million, seven hundred twelve thousand, three hundred twenty".