465956670 has 64 divisors (see below), whose sum is σ = 1139526144. Its totient is φ = 121914240.

The previous prime is 465956611. The next prime is 465956671. The reversal of 465956670 is 76659564.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465956671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 602404 + ... + 603176.

It is an arithmetic number, because the mean of its divisors is an integer number (17805096).

Almost surely, 2^465956670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465956670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569763072).

465956670 is an abundant number, since it is smaller than the sum of its proper divisors (673569474).

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

465956670 is a wasteful number, since it uses less digits than its factorization.

465956670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137.

The product of its (nonzero) digits is 1360800, while the sum is 48.

The square root of 465956670 is about 21586.0295098473. The cubic root of 465956670 is about 775.2620244772.

The spelling of 465956670 in words is "four hundred sixty-five million, nine hundred fifty-six thousand, six hundred seventy".