464413042352532 has 288 divisors, whose sum is σ = 1422965331494784. Its totient is φ = 116716220006400.

The previous prime is 464413042352473. The next prime is 464413042352543. The reversal of 464413042352532 is 235253240314464.

It is a happy number.

It is a super-2 number, since 2×464413042352532² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3754269 + ... + 30707012.

It is an arithmetic number, because the mean of its divisors is an integer number (4940851845468).

Almost surely, 2^{464413042352532} is an apocalyptic number.

464413042352532 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464413042352532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711482665747392).

464413042352532 is an abundant number, since it is smaller than the sum of its proper divisors (958552289142252).

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

464413042352532 is a wasteful number, since it uses less digits than its factorization.

464413042352532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34461399 (or 34461390 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 48.

Adding to 464413042352532 its reverse (235253240314464), we get a palindrome (699666282666996).

The spelling of 464413042352532 in words is "four hundred sixty-four trillion, four hundred thirteen billion, forty-two million, three hundred fifty-two thousand, five hundred thirty-two".