465012240 has 160 divisors (see below), whose sum is σ = 1797313536. Its totient is φ = 96622080.

The previous prime is 465012221. The next prime is 465012241. The reversal of 465012240 is 42210564.

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 465012240.

It is not an unprimeable number, because it can be changed into a prime (465012241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5899 + ... + 31061.

Almost surely, 2^465012240 is an apocalyptic number.

465012240 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 465012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898656768).

465012240 is an abundant number, since it is smaller than the sum of its proper divisors (1332301296).

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

465012240 is a wasteful number, since it uses less digits than its factorization.

465012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25197 (or 25191 counting only the distinct ones).

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

The square root of 465012240 is about 21564.1424591844. The cubic root of 465012240 is about 774.7378870805.

The spelling of 465012240 in words is "four hundred sixty-five million, twelve thousand, two hundred forty".