465987984 has 80 divisors (see below), whose sum is σ = 1500856320. Its totient is φ = 121034880.

The previous prime is 465987943. The next prime is 465987989. The reversal of 465987984 is 489789564.

It is not an unprimeable number, because it can be changed into a prime (465987989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59344 + ... + 66735.

It is an arithmetic number, because the mean of its divisors is an integer number (18760704).

Almost surely, 2^465987984 is an apocalyptic number.

465987984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465987984 is an abundant number, since it is smaller than the sum of its proper divisors (1034868336).

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

465987984 is a wasteful number, since it uses less digits than its factorization.

465987984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126108 (or 126102 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 60.

The square root of 465987984 is about 21586.7548279032. The cubic root of 465987984 is about 775.2793909069.

The spelling of 465987984 in words is "four hundred sixty-five million, nine hundred eighty-seven thousand, nine hundred eighty-four".