465220800 has 504 divisors, whose sum is σ = 1885035600. Its totient is φ = 111513600.

The previous prime is 465220787. The next prime is 465220823. The reversal of 465220800 is 8022564.

465220800 is a `hidden beast` number, since 4 + 652 + 2 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5227156 + ... + 5227244.

It is an arithmetic number, because the mean of its divisors is an integer number (3740150).

Almost surely, 2^465220800 is an apocalyptic number.

465220800 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 465220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942517800).

465220800 is an abundant number, since it is smaller than the sum of its proper divisors (1419814800).

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

465220800 is a wasteful number, since it uses less digits than its factorization.

465220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 465220800 is about 21568.9777226460. The cubic root of 465220800 is about 774.8536941994.

It can be divided in two parts, 4652 and 20800, that added together give a palindrome (25452).

The spelling of 465220800 in words is "four hundred sixty-five million, two hundred twenty thousand, eight hundred".