465260420 has 48 divisors (see below), whose sum is σ = 1051526448. Its totient is φ = 172277760.

The previous prime is 465260417. The next prime is 465260441. The reversal of 465260420 is 24062564.

It can be written as a sum of positive squares in 8 ways, for example, as 81796 + 465178624 = 286^2 + 21568^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9524 + ... + 31956.

It is an arithmetic number, because the mean of its divisors is an integer number (21906801).

Almost surely, 2^465260420 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 465260420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525763224).

465260420 is an abundant number, since it is smaller than the sum of its proper divisors (586266028).

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

465260420 is a wasteful number, since it uses less digits than its factorization.

465260420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22520 (or 22518 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 465260420 is about 21569.8961518131. The cubic root of 465260420 is about 774.8756900860.

The spelling of 465260420 in words is "four hundred sixty-five million, two hundred sixty thousand, four hundred twenty".