465606720 has 168 divisors, whose sum is σ = 1610121240. Its totient is φ = 123494400.

The previous prime is 465606719. The next prime is 465606721. The reversal of 465606720 is 27606564.

465606720 is a `hidden beast` number, since 46 + 5 + 606 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (465606719) and next prime (465606721).

It can be written as a sum of positive squares in 4 ways, for example, as 27625536 + 437981184 = 5256^2 + 20928^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (465606721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774420 + ... + 775020.

It is an arithmetic number, because the mean of its divisors is an integer number (9584055).

Almost surely, 2^465606720 is an apocalyptic number.

465606720 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 465606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805060620).

465606720 is an abundant number, since it is smaller than the sum of its proper divisors (1144514520).

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

465606720 is a wasteful number, since it uses less digits than its factorization.

465606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 465606720 is about 21577.9220500956. The cubic root of 465606720 is about 775.0678927688.

The spelling of 465606720 in words is "four hundred sixty-five million, six hundred six thousand, seven hundred twenty".