462842080840 has 64 divisors (see below), whose sum is σ = 1067098581360. Its totient is φ = 180569825280.

The previous prime is 462842080819. The next prime is 462842080847. The reversal of 462842080840 is 48080248264.

It can be written as a sum of positive squares in 8 ways, for example, as 31348118916 + 431493961924 = 177054^2 + 656882^2 .

It is not an unprimeable number, because it can be changed into a prime (462842080847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5991904 + ... + 6068656.

Almost surely, 2^462842080840 is an apocalyptic number.

462842080840 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 462842080840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533549290680).

462842080840 is an abundant number, since it is smaller than the sum of its proper divisors (604256500520).

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

462842080840 is a wasteful number, since it uses less digits than its factorization.

462842080840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80482 (or 80478 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 46.

The spelling of 462842080840 in words is "four hundred sixty-two billion, eight hundred forty-two million, eighty thousand, eight hundred forty".