465080328 has 96 divisors (see below), whose sum is σ = 1338480000. Its totient is φ = 145473408.

The previous prime is 465080327. The next prime is 465080381. The reversal of 465080328 is 823080564.

It is a super-2 number, since 2×465080328² = 432599422985175168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 465080292 and 465080301.

It is not an unprimeable number, because it can be changed into a prime (465080323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147553 + ... + 150671.

It is an arithmetic number, because the mean of its divisors is an integer number (13942500).

Almost surely, 2^465080328 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 465080328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669240000).

465080328 is an abundant number, since it is smaller than the sum of its proper divisors (873399672).

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

465080328 is a wasteful number, since it uses less digits than its factorization.

465080328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 465080328 is about 21565.7211333171. The cubic root of 465080328 is about 774.7756981130.

The spelling of 465080328 in words is "four hundred sixty-five million, eighty thousand, three hundred twenty-eight".