462648312 has 192 divisors, whose sum is σ = 1512276480. Its totient is φ = 124920576.

The previous prime is 462648311. The next prime is 462648331. The reversal of 462648312 is 213846264.

462648312 is a `hidden beast` number, since 4 + 6 + 2 + 648 + 3 + 1 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462648311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1240158 + ... + 1240530.

It is an arithmetic number, because the mean of its divisors is an integer number (7876440).

Almost surely, 2^462648312 is an apocalyptic number.

462648312 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 462648312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756138240).

462648312 is an abundant number, since it is smaller than the sum of its proper divisors (1049628168).

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

462648312 is a wasteful number, since it uses less digits than its factorization.

462648312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 515 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 462648312 is about 21509.2610751741. The cubic root of 462648312 is about 773.4228415685.

The spelling of 462648312 in words is "four hundred sixty-two million, six hundred forty-eight thousand, three hundred twelve".