465506353 has 8 divisors (see below), whose sum is σ = 502157096. Its totient is φ = 428976000.

The previous prime is 465506341. The next prime is 465506369. The reversal of 465506353 is 353605564.

It can be written as a sum of positive squares in 4 ways, for example, as 108409744 + 357096609 = 10412^2 + 18897^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 465506353 - 2¹³ = 465498161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (465506303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21978 + ... + 37603.

It is an arithmetic number, because the mean of its divisors is an integer number (62769637).

Almost surely, 2^465506353 is an apocalyptic number.

It is an amenable number.

465506353 is a deficient number, since it is larger than the sum of its proper divisors (36650743).

465506353 is a wasteful number, since it uses less digits than its factorization.

465506353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60195.

The product of its (nonzero) digits is 162000, while the sum is 37.

The square root of 465506353 is about 21575.5962374160. The cubic root of 465506353 is about 775.0121971025.

The spelling of 465506353 in words is "four hundred sixty-five million, five hundred six thousand, three hundred fifty-three".