465666660 has 72 divisors (see below), whose sum is σ = 1417151736. Its totient is φ = 123770880.

The previous prime is 465666653. The next prime is 465666667. The reversal of 465666660 is 66666564.

It is an interprime number because it is at equal distance from previous prime (465666653) and next prime (465666667).

It can be written as a sum of positive squares in 4 ways, for example, as 142884 + 465523776 = 378^2 + 21576^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (465666667) 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, 52980 + ... + 61140.

It is an arithmetic number, because the mean of its divisors is an integer number (19682663).

Almost surely, 2^465666660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465666660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708575868).

465666660 is an abundant number, since it is smaller than the sum of its proper divisors (951485076).

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

465666660 is a wasteful number, since it uses less digits than its factorization.

465666660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8493 (or 8488 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 465666660 is about 21579.3109250504. The cubic root of 465666660 is about 775.1011508627.

The spelling of 465666660 in words is "four hundred sixty-five million, six hundred sixty-six thousand, six hundred sixty".