465821664 has 384 divisors, whose sum is σ = 1646023680. Its totient is φ = 111820800.

The previous prime is 465821663. The next prime is 465821701. The reversal of 465821664 is 466128564.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465821663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8789062 + ... + 8789114.

It is an arithmetic number, because the mean of its divisors is an integer number (4286520).

Almost surely, 2^465821664 is an apocalyptic number.

465821664 is a gapful number since it is divisible by the number (44) 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 465821664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823011840).

465821664 is an abundant number, since it is smaller than the sum of its proper divisors (1180202016).

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

465821664 is a wasteful number, since it uses less digits than its factorization.

465821664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 465821664 is about 21582.9021218186. The cubic root of 465821664 is about 775.1871425967.

The spelling of 465821664 in words is "four hundred sixty-five million, eight hundred twenty-one thousand, six hundred sixty-four".