461983984 has 40 divisors (see below), whose sum is σ = 1115964288. Its totient is φ = 179993280.

The previous prime is 461983967. The next prime is 461983997. The reversal of 461983984 is 489389164.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 186262 + ... + 188725.

Almost surely, 2^461983984 is an apocalyptic number.

461983984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461983984 is an abundant number, since it is smaller than the sum of its proper divisors (653980304).

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

461983984 is a wasteful number, since it uses less digits than its factorization.

461983984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375013 (or 375007 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 52.

The square root of 461983984 is about 21493.8126910979. The cubic root of 461983984 is about 773.0524719943.

The spelling of 461983984 in words is "four hundred sixty-one million, nine hundred eighty-three thousand, nine hundred eighty-four".