462412576 has 48 divisors (see below), whose sum is σ = 961329600. Its totient is φ = 218343168.

The previous prime is 462412541. The next prime is 462412579. The reversal of 462412576 is 675214264.

It is not an unprimeable number, because it can be changed into a prime (462412579) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225765 + ... + 227803.

It is an arithmetic number, because the mean of its divisors is an integer number (20027700).

Almost surely, 2^462412576 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 462412576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480664800).

462412576 is an abundant number, since it is smaller than the sum of its proper divisors (498917024).

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

462412576 is a wasteful number, since it uses less digits than its factorization.

462412576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2433 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 462412576 is about 21503.7805048322. The cubic root of 462412576 is about 773.2914569741.

The spelling of 462412576 in words is "four hundred sixty-two million, four hundred twelve thousand, five hundred seventy-six".