465880800 has 288 divisors, whose sum is σ = 1891378944. Its totient is φ = 96768000.

The previous prime is 465880783. The next prime is 465880813. The reversal of 465880800 is 8088564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183540 + ... + 186060.

It is an arithmetic number, because the mean of its divisors is an integer number (6567288).

Almost surely, 2^465880800 is an apocalyptic number.

465880800 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 465880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945689472).

465880800 is an abundant number, since it is smaller than the sum of its proper divisors (1425498144).

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

465880800 is a wasteful number, since it uses less digits than its factorization.

465880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 465880800 is about 21584.2720516584. The cubic root of 465880800 is about 775.2199445112.

It can be divided in two parts, 4658 and 80800, that added together give a palindrome (85458).

The spelling of 465880800 in words is "four hundred sixty-five million, eight hundred eighty thousand, eight hundred".