462096416 has 48 divisors (see below), whose sum is σ = 988565760. Its totient is φ = 211818240.

The previous prime is 462096413. The next prime is 462096421. The reversal of 462096416 is 614690264.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 462096416.

It is not an unprimeable number, because it can be changed into a prime (462096413) 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, 6590 + ... + 31106.

It is an arithmetic number, because the mean of its divisors is an integer number (20595120).

Almost surely, 2^462096416 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 462096416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494282880).

462096416 is an abundant number, since it is smaller than the sum of its proper divisors (526469344).

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

462096416 is a wasteful number, since it uses less digits than its factorization.

462096416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24577 (or 24569 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 462096416 is about 21496.4279823416. The cubic root of 462096416 is about 773.1151789197.

It can be divided in two parts, 46209 and 6416, that added together give a palindrome (52625).

The spelling of 462096416 in words is "four hundred sixty-two million, ninety-six thousand, four hundred sixteen".