462270512 has 80 divisors (see below), whose sum is σ = 1016125440. Its totient is φ = 201830400.

The previous prime is 462270509. The next prime is 462270533. The reversal of 462270512 is 215072264.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 1052789 + ... + 1053227.

It is an arithmetic number, because the mean of its divisors is an integer number (12701568).

Almost surely, 2^462270512 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 462270512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508062720).

462270512 is an abundant number, since it is smaller than the sum of its proper divisors (553854928).

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

462270512 is a wasteful number, since it uses less digits than its factorization.

462270512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 462270512 is about 21500.4770179640. The cubic root of 462270512 is about 773.2122577658.

The spelling of 462270512 in words is "four hundred sixty-two million, two hundred seventy thousand, five hundred twelve".