465441432 has 64 divisors (see below), whose sum is σ = 1222560000. Its totient is φ = 147379584.

The previous prime is 465441413. The next prime is 465441467. The reversal of 465441432 is 234144564.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 465441393 and 465441402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79419 + ... + 85077.

It is an arithmetic number, because the mean of its divisors is an integer number (19102500).

Almost surely, 2^465441432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465441432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611280000).

465441432 is an abundant number, since it is smaller than the sum of its proper divisors (757118568).

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

465441432 is a wasteful number, since it uses less digits than its factorization.

465441432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840 (or 5836 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 465441432 is about 21574.0916842402. The cubic root of 465441432 is about 774.9761668703.

Adding to 465441432 its reverse (234144564), we get a palindrome (699585996).

The spelling of 465441432 in words is "four hundred sixty-five million, four hundred forty-one thousand, four hundred thirty-two".