465246880 has 192 divisors, whose sum is σ = 1314593280. Its totient is φ = 152285184.

The previous prime is 465246857. The next prime is 465246889. The reversal of 465246880 is 88642564.

It is not an unprimeable number, because it can be changed into a prime (465246889) 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, 4268266 + ... + 4268374.

It is an arithmetic number, because the mean of its divisors is an integer number (6846840).

Almost surely, 2^465246880 is an apocalyptic number.

465246880 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 465246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657296640).

465246880 is an abundant number, since it is smaller than the sum of its proper divisors (849346400).

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

465246880 is a wasteful number, since it uses less digits than its factorization.

465246880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The square root of 465246880 is about 21569.5822861733. The cubic root of 465246880 is about 774.8681732072.

The spelling of 465246880 in words is "four hundred sixty-five million, two hundred forty-six thousand, eight hundred eighty".