464811984 has 240 divisors, whose sum is σ = 1624896000. Its totient is φ = 120766464.

The previous prime is 464811979. The next prime is 464812001. The reversal of 464811984 is 489118464.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1034992 + ... + 1035440.

It is an arithmetic number, because the mean of its divisors is an integer number (6770400).

Almost surely, 2^464811984 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 464811984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812448000).

464811984 is an abundant number, since it is smaller than the sum of its proper divisors (1160084016).

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

464811984 is a wasteful number, since it uses less digits than its factorization.

464811984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 553 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 464811984 is about 21559.4986954706. The cubic root of 464811984 is about 774.6266583333.

The spelling of 464811984 in words is "four hundred sixty-four million, eight hundred eleven thousand, nine hundred eighty-four".