462112512 has 72 divisors (see below), whose sum is σ = 1253209104. Its totient is φ = 151117824.

The previous prime is 462112463. The next prime is 462112523. The reversal of 462112512 is 215211264.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35028 + ... + 46380.

It is an arithmetic number, because the mean of its divisors is an integer number (17405682).

Almost surely, 2^462112512 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 462112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626604552).

462112512 is an abundant number, since it is smaller than the sum of its proper divisors (791096592).

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

462112512 is a wasteful number, since it uses less digits than its factorization.

462112512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11425 (or 11411 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 462112512 is about 21496.8023668638. The cubic root of 462112512 is about 773.1241553418.

Adding to 462112512 its reverse (215211264), we get a palindrome (677323776).

The spelling of 462112512 in words is "four hundred sixty-two million, one hundred twelve thousand, five hundred twelve".