464596009540 has 96 divisors (see below), whose sum is σ = 1054355148000. Its totient is φ = 170947584000.

The previous prime is 464596009463. The next prime is 464596009541. The reversal of 464596009540 is 45900695464.

It can be written as a sum of positive squares in 16 ways, for example, as 67474218564 + 397121790976 = 259758^2 + 630176^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (464596009541) 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 31 ways as a sum of consecutive naturals, for example, 169004086 + ... + 169006834.

It is an arithmetic number, because the mean of its divisors is an integer number (10982866125).

Almost surely, 2^464596009540 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 464596009540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527177574000).

464596009540 is an abundant number, since it is smaller than the sum of its proper divisors (589759138460).

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

464596009540 is a wasteful number, since it uses less digits than its factorization.

464596009540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793 (or 4791 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 52.

The spelling of 464596009540 in words is "four hundred sixty-four billion, five hundred ninety-six million, nine thousand, five hundred forty".