465967128 has 128 divisors (see below), whose sum is σ = 1328140800. Its totient is φ = 136062080.

The previous prime is 465967121. The next prime is 465967163. The reversal of 465967128 is 821769564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465967121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 926125 + ... + 926627.

It is an arithmetic number, because the mean of its divisors is an integer number (10376100).

Almost surely, 2^465967128 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 465967128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664070400).

465967128 is an abundant number, since it is smaller than the sum of its proper divisors (862173672).

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

465967128 is a wasteful number, since it uses less digits than its factorization.

465967128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 548 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 465967128 is about 21586.2717484979. The cubic root of 465967128 is about 775.2678244654.

It can be divided in two parts, 465967 and 128, that added together give a triangular number (466095 = T₉₆₅).

The spelling of 465967128 in words is "four hundred sixty-five million, nine hundred sixty-seven thousand, one hundred twenty-eight".