462998840832 has 560 divisors, whose sum is σ = 1579205852928. Its totient is φ = 134175191040.

The previous prime is 462998840797. The next prime is 462998840833. The reversal of 462998840832 is 238048899264.

462998840832 is a `hidden beast` number, since 4 + 62 + 99 + 88 + 408 + 3 + 2 = 666.

It is a super-2 number, since 2×462998840832² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 462998840832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462998840833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 94429293 + ... + 94434195.

Almost surely, 2^462998840832 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 462998840832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789602926464).

462998840832 is an abundant number, since it is smaller than the sum of its proper divisors (1116207012096).

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

462998840832 is an equidigital number, since it uses as much as digits as its factorization.

462998840832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4973 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 462998840832 in words is "four hundred sixty-two billion, nine hundred ninety-eight million, eight hundred forty thousand, eight hundred thirty-two".