465975540 has 36 divisors (see below), whose sum is σ = 1413459684. Its totient is φ = 124260096.

The previous prime is 465975527. The next prime is 465975547. The reversal of 465975540 is 45579564.

465975540 is a `hidden beast` number, since 4 + 6 + 5 + 97 + 554 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 313502436 + 152473104 = 17706^2 + 12348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465975547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1294197 + ... + 1294556.

It is an arithmetic number, because the mean of its divisors is an integer number (39262769).

Almost surely, 2^465975540 is an apocalyptic number.

It is an amenable number.

465975540 is an abundant number, since it is smaller than the sum of its proper divisors (947484144).

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

465975540 is a wasteful number, since it uses less digits than its factorization.

465975540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588768 (or 2588763 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 465975540 is about 21586.4665936785. The cubic root of 465975540 is about 775.2724896827.

The spelling of 465975540 in words is "four hundred sixty-five million, nine hundred seventy-five thousand, five hundred forty".