465210240 has 128 divisors (see below), whose sum is σ = 1617736320. Its totient is φ = 112773120.

The previous prime is 465210233. The next prime is 465210241. The reversal of 465210240 is 42012564.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 465210240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465210241) 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, 10107 + ... + 32133.

It is an arithmetic number, because the mean of its divisors is an integer number (12638565).

Almost surely, 2^465210240 is an apocalyptic number.

465210240 is a gapful number since it is divisible by the number (40) 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 465210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808868160).

465210240 is an abundant number, since it is smaller than the sum of its proper divisors (1152526080).

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

465210240 is a wasteful number, since it uses less digits than its factorization.

465210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22060 (or 22048 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 465210240 is about 21568.7329252323. The cubic root of 465210240 is about 774.8478313798.

The spelling of 465210240 in words is "four hundred sixty-five million, two hundred ten thousand, two hundred forty".