465231440 has 40 divisors (see below), whose sum is σ = 1083395688. Its totient is φ = 185794560.

The previous prime is 465231433. The next prime is 465231443. The reversal of 465231440 is 44132564.

It can be written as a sum of positive squares in 4 ways, for example, as 2637376 + 462594064 = 1624^2 + 21508^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465231443) 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 7 ways as a sum of consecutive naturals, for example, 49520 + ... + 58160.

Almost surely, 2^465231440 is an apocalyptic number.

465231440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465231440 is an abundant number, since it is smaller than the sum of its proper divisors (618164248).

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

465231440 is a wasteful number, since it uses less digits than its factorization.

465231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9327 (or 9321 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 465231440 is about 21569.2243717756. The cubic root of 465231440 is about 774.8596013446.

The spelling of 465231440 in words is "four hundred sixty-five million, two hundred thirty-one thousand, four hundred forty".