465217984 has 112 divisors (see below), whose sum is σ = 1168968960. Its totient is φ = 178421760.

The previous prime is 465217981. The next prime is 465217997. The reversal of 465217984 is 489712564.

465217984 = T₁ + T₂ + ... + T₁₄₀₇.

465217984 is a nontrivial binomial coefficient, being equal to C(1409, 3).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465217981) by changing a digit.

It is the 1407-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329472 + ... + 330880.

Almost surely, 2^465217984 is an apocalyptic number.

465217984 is a gapful number since it is divisible by the number (44) 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 465217984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584484480).

465217984 is an abundant number, since it is smaller than the sum of its proper divisors (703750976).

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

465217984 is a wasteful number, since it uses less digits than its factorization.

465217984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1496 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The square root of 465217984 is about 21568.9124436074. The cubic root of 465217984 is about 774.8521307895.

The spelling of 465217984 in words is "four hundred sixty-five million, two hundred seventeen thousand, nine hundred eighty-four".