465802272 has 192 divisors, whose sum is σ = 1480066560. Its totient is φ = 141668352.

The previous prime is 465802243. The next prime is 465802331. The reversal of 465802272 is 272208564.

465802272 is a `hidden beast` number, since 4 + 6 + 580 + 2 + 2 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1269033 + ... + 1269399.

It is an arithmetic number, because the mean of its divisors is an integer number (7708680).

Almost surely, 2^465802272 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 465802272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740033280).

465802272 is an abundant number, since it is smaller than the sum of its proper divisors (1014264288).

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

465802272 is a wasteful number, since it uses less digits than its factorization.

465802272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 465802272 is about 21582.4528726463. The cubic root of 465802272 is about 775.1763855203.

The spelling of 465802272 in words is "four hundred sixty-five million, eight hundred two thousand, two hundred seventy-two".