462438880 has 48 divisors (see below), whose sum is σ = 1093798944. Its totient is φ = 184757760.

The previous prime is 462438871. The next prime is 462438883. The reversal of 462438880 is 88834264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462438883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258469 + ... + 260251.

It is an arithmetic number, because the mean of its divisors is an integer number (22787478).

Almost surely, 2^462438880 is an apocalyptic number.

462438880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462438880 is an abundant number, since it is smaller than the sum of its proper divisors (631360064).

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

462438880 is a wasteful number, since it uses less digits than its factorization.

462438880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The square root of 462438880 is about 21504.3921095203. The cubic root of 462438880 is about 773.3061194017.

The spelling of 462438880 in words is "four hundred sixty-two million, four hundred thirty-eight thousand, eight hundred eighty".