465821600 has 72 divisors (see below), whose sum is σ = 1143825228. Its totient is φ = 185241600.

The previous prime is 465821597. The next prime is 465821627. The reversal of 465821600 is 6128564.

It can be written as a sum of positive squares in 6 ways, for example, as 121793296 + 344028304 = 11036^2 + 18548^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143192 + ... + 146408.

Almost surely, 2^465821600 is an apocalyptic number.

465821600 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 465821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571912614).

465821600 is an abundant number, since it is smaller than the sum of its proper divisors (678003628).

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

465821600 is a wasteful number, since it uses less digits than its factorization.

465821600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 465821600 is about 21582.9006391634. The cubic root of 465821600 is about 775.1871070953.

The spelling of 465821600 in words is "four hundred sixty-five million, eight hundred twenty-one thousand, six hundred".