465424564 has 36 divisors (see below), whose sum is σ = 904228164. Its totient is φ = 209440000.

The previous prime is 465424543. The next prime is 465424577.

It is a happy number.

465424564 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 349690000 + 115734564 = 18700^2 + 10758^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 44124 + ... + 53644.

It is an arithmetic number, because the mean of its divisors is an integer number (25117449).

Almost surely, 2^465424564 is an apocalyptic number.

465424564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465424564 is a deficient number, since it is larger than the sum of its proper divisors (438803600).

465424564 is a wasteful number, since it uses less digits than its factorization.

465424564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9648 (or 9635 counting only the distinct ones).

The product of its digits is 460800, while the sum is 40.

The square root of 465424564 is about 21573.7007488284. The cubic root of 465424564 is about 774.9668048217.

The spelling of 465424564 in words is "four hundred sixty-five million, four hundred twenty-four thousand, five hundred sixty-four".