465054144 has 56 divisors (see below), whose sum is σ = 1260488208. Its totient is φ = 151234560.

The previous prime is 465054133. The next prime is 465054173. The reversal of 465054144 is 441450564.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21667 + ... + 37410.

It is an arithmetic number, because the mean of its divisors is an integer number (22508718).

Almost surely, 2^465054144 is an apocalyptic number.

It is an amenable number.

465054144 is an abundant number, since it is smaller than the sum of its proper divisors (795434064).

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

465054144 is a wasteful number, since it uses less digits than its factorization.

465054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59133 (or 59123 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 465054144 is about 21565.1140502433. The cubic root of 465054144 is about 774.7611578954.

The spelling of 465054144 in words is "four hundred sixty-five million, fifty-four thousand, one hundred forty-four".