465911040 has 144 divisors (see below), whose sum is σ = 1700673408. Its totient is φ = 106487808.

The previous prime is 465911021. The next prime is 465911041. The reversal of 465911040 is 40119564.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 465910989 and 465911007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465911041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18214 + ... + 35546.

It is an arithmetic number, because the mean of its divisors is an integer number (11810232).

Almost surely, 2^465911040 is an apocalyptic number.

465911040 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 465911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850336704).

465911040 is an abundant number, since it is smaller than the sum of its proper divisors (1234762368).

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

465911040 is a wasteful number, since it uses less digits than its factorization.

465911040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17364 (or 17350 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 465911040 is about 21584.9725503648. The cubic root of 465911040 is about 775.2367171448.

The spelling of 465911040 in words is "four hundred sixty-five million, nine hundred eleven thousand, forty".