462828096 has 84 divisors (see below), whose sum is σ = 1349197200. Its totient is φ = 151650048.

The previous prime is 462828083. The next prime is 462828127. The reversal of 462828096 is 690828264.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27175 + ... + 40793.

Almost surely, 2^462828096 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 462828096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674598600).

462828096 is an abundant number, since it is smaller than the sum of its proper divisors (886369104).

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

462828096 is a wasteful number, since it uses less digits than its factorization.

462828096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13696 (or 13683 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 462828096 is about 21513.4398923092. The cubic root of 462828096 is about 773.5230120011.

The spelling of 462828096 in words is "four hundred sixty-two million, eight hundred twenty-eight thousand, ninety-six".