464643540 has 120 divisors (see below), whose sum is σ = 1477947240. Its totient is φ = 122176512.

The previous prime is 464643533. The next prime is 464643547. The reversal of 464643540 is 45346464.

464643540 is a `hidden beast` number, since 4 + 6 + 4 + 643 + 5 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (464643533) and next prime (464643547).

It can be written as a sum of positive squares in 4 ways, for example, as 11209104 + 453434436 = 3348^2 + 21294^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 464643495 and 464643504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464643547) 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 39 ways as a sum of consecutive naturals, for example, 116296 + ... + 120224.

It is an arithmetic number, because the mean of its divisors is an integer number (12316227).

Almost surely, 2^464643540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464643540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738973620).

464643540 is an abundant number, since it is smaller than the sum of its proper divisors (1013303700).

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

464643540 is a wasteful number, since it uses less digits than its factorization.

464643540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 464643540 is about 21555.5918499122. The cubic root of 464643540 is about 774.5330742733.

The spelling of 464643540 in words is "four hundred sixty-four million, six hundred forty-three thousand, five hundred forty".