465365472 has 192 divisors, whose sum is σ = 1452971520. Its totient is φ = 128563200.

The previous prime is 465365449. The next prime is 465365473. The reversal of 465365472 is 274563564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465365473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1496197 + ... + 1496507.

It is an arithmetic number, because the mean of its divisors is an integer number (7567560).

Almost surely, 2^465365472 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 465365472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726485760).

465365472 is an abundant number, since it is smaller than the sum of its proper divisors (987606048).

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

465365472 is a wasteful number, since it uses less digits than its factorization.

465365472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 449 counting only the distinct ones).

The product of its digits is 604800, while the sum is 42.

The square root of 465365472 is about 21572.3311674932. The cubic root of 465365472 is about 774.9340058963.

It can be divided in two parts, 4653 and 65472, that added together give a triangular number (70125 = T₃₇₄).

The spelling of 465365472 in words is "four hundred sixty-five million, three hundred sixty-five thousand, four hundred seventy-two".