464013540 has 72 divisors (see below), whose sum is σ = 1413779640. Its totient is φ = 123185664.

The previous prime is 464013533. The next prime is 464013547. The reversal of 464013540 is 45310464.

464013540 is a `hidden beast` number, since 4 + 640 + 13 + 5 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (464013533) and next prime (464013547).

It can be written as a sum of positive squares in 4 ways, for example, as 227346084 + 236667456 = 15078^2 + 15384^2 .

It is not an unprimeable number, because it can be changed into a prime (464013547) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 35592 + ... + 46848.

Almost surely, 2^464013540 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 464013540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706889820).

464013540 is an abundant number, since it is smaller than the sum of its proper divisors (949766100).

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

464013540 is a wasteful number, since it uses less digits than its factorization.

464013540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11501 (or 11496 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 464013540 is about 21540.9735156051. The cubic root of 464013540 is about 774.1828584646.

The spelling of 464013540 in words is "four hundred sixty-four million, thirteen thousand, five hundred forty".