465562320 has 240 divisors, whose sum is σ = 1596356160. Its totient is φ = 111919104.

The previous prime is 465562313. The next prime is 465562381. The reversal of 465562320 is 23265564.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2412144 + ... + 2412336.

It is an arithmetic number, because the mean of its divisors is an integer number (6651484).

Almost surely, 2^465562320 is an apocalyptic number.

465562320 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 465562320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798178080).

465562320 is an abundant number, since it is smaller than the sum of its proper divisors (1130793840).

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

465562320 is a wasteful number, since it uses less digits than its factorization.

465562320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 465562320 is about 21576.8931961949. The cubic root of 465562320 is about 775.0432553034.

The spelling of 465562320 in words is "four hundred sixty-five million, five hundred sixty-two thousand, three hundred twenty".