465538080 has 192 divisors, whose sum is σ = 1684972800. Its totient is φ = 105836544.

The previous prime is 465538079. The next prime is 465538091. The reversal of 465538080 is 80835564.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1172442 + ... + 1172838.

It is an arithmetic number, because the mean of its divisors is an integer number (8775900).

Almost surely, 2^465538080 is an apocalyptic number.

465538080 is a gapful number since it is divisible by the number (40) 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 465538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842486400).

465538080 is an abundant number, since it is smaller than the sum of its proper divisors (1219434720).

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

465538080 is a wasteful number, since it uses less digits than its factorization.

465538080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 465538080 is about 21576.3314768753. The cubic root of 465538080 is about 775.0298039180.

The spelling of 465538080 in words is "four hundred sixty-five million, five hundred thirty-eight thousand, eighty".