465653232 has 320 divisors, whose sum is σ = 1571328000. Its totient is φ = 130636800.

The previous prime is 465653219. The next prime is 465653233. The reversal of 465653232 is 232356564.

465653232 is a `hidden beast` number, since 46 + 56 + 532 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465653233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4271994 + ... + 4272102.

It is an arithmetic number, because the mean of its divisors is an integer number (4910400).

Almost surely, 2^465653232 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 465653232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785664000).

465653232 is an abundant number, since it is smaller than the sum of its proper divisors (1105674768).

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

465653232 is a wasteful number, since it uses less digits than its factorization.

465653232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 465653232 is about 21578.9997914639. Note that the first 3 decimals coincide. The cubic root of 465653232 is about 775.0937004987.

It can be divided in two parts, 4656532 and 32, that added together give a palindrome (4656564).

The spelling of 465653232 in words is "four hundred sixty-five million, six hundred fifty-three thousand, two hundred thirty-two".