462512512 has 128 divisors (see below), whose sum is σ = 1159764480. Its totient is φ = 178483200.

The previous prime is 462512509. The next prime is 462512527. The reversal of 462512512 is 215215264.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

462512512 is a Rhonda number in base 10.

Its product of digits (4800) is a multiple of the sum of its prime factors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1645812 + ... + 1646092.

It is an arithmetic number, because the mean of its divisors is an integer number (9060660).

Almost surely, 2^462512512 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 462512512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579882240).

462512512 is an abundant number, since it is smaller than the sum of its proper divisors (697251968).

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

462512512 is a wasteful number, since it uses less digits than its factorization.

462512512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 462512512 is about 21506.1040637304. The cubic root of 462512512 is about 773.3471605402.

Adding to 462512512 its reverse (215215264), we get a palindrome (677727776).

The spelling of 462512512 in words is "four hundred sixty-two million, five hundred twelve thousand, five hundred twelve".