462799680 has 224 divisors, whose sum is σ = 1708343040. Its totient is φ = 103956480.

The previous prime is 462799679. The next prime is 462799699. The reversal of 462799680 is 86997264.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409356 + ... + 410484.

Almost surely, 2^462799680 is an apocalyptic number.

462799680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854171520).

462799680 is an abundant number, since it is smaller than the sum of its proper divisors (1245543360).

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

462799680 is a wasteful number, since it uses less digits than its factorization.

462799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 462799680 is about 21512.7794578014. The cubic root of 462799680 is about 773.5071811560.

The spelling of 462799680 in words is "four hundred sixty-two million, seven hundred ninety-nine thousand, six hundred eighty".