462676896 has 288 divisors, whose sum is σ = 1553924736. Its totient is φ = 130099200.

The previous prime is 462676889. The next prime is 462676931. The reversal of 462676896 is 698676264.

462676896 is a `hidden beast` number, since 4 + 626 + 7 + 6 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6516541 + ... + 6516611.

It is an arithmetic number, because the mean of its divisors is an integer number (5395572).

Almost surely, 2^462676896 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 462676896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776962368).

462676896 is an abundant number, since it is smaller than the sum of its proper divisors (1091247840).

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

462676896 is a wasteful number, since it uses less digits than its factorization.

462676896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 104 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 462676896 is about 21509.9255228836. The cubic root of 462676896 is about 773.4387694794.

The spelling of 462676896 in words is "four hundred sixty-two million, six hundred seventy-six thousand, eight hundred ninety-six".