462306816 has 120 divisors (see below), whose sum is σ = 1367349984. Its totient is φ = 150282240.

The previous prime is 462306811. The next prime is 462306821. The reversal of 462306816 is 618603264.

It is an interprime number because it is at equal distance from previous prime (462306811) and next prime (462306821).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462306811) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 187705 + ... + 190151.

Almost surely, 2^462306816 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 462306816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683674992).

462306816 is an abundant number, since it is smaller than the sum of its proper divisors (905043168).

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

462306816 is a wasteful number, since it uses less digits than its factorization.

462306816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 462306816 is about 21501.3212617271. The cubic root of 462306816 is about 773.2324984130.

The spelling of 462306816 in words is "four hundred sixty-two million, three hundred six thousand, eight hundred sixteen".