464145132 has 48 divisors (see below), whose sum is σ = 1189440000. Its totient is φ = 139700160.

The previous prime is 464145103. The next prime is 464145137. The reversal of 464145132 is 231541464.

It is a super-3 number, since 3×464145132³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 464145132.

It is not an unprimeable number, because it can be changed into a prime (464145137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7869 + ... + 31467.

It is an arithmetic number, because the mean of its divisors is an integer number (24780000).

Almost surely, 2^464145132 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 464145132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594720000).

464145132 is an abundant number, since it is smaller than the sum of its proper divisors (725294868).

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

464145132 is a wasteful number, since it uses less digits than its factorization.

464145132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23766 (or 23764 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 464145132 is about 21544.0277571303. The cubic root of 464145132 is about 774.2560363879.

Adding to 464145132 its reverse (231541464), we get a palindrome (695686596).

The spelling of 464145132 in words is "four hundred sixty-four million, one hundred forty-five thousand, one hundred thirty-two".