465523776 has 189 divisors, whose sum is σ = 1427954853. Its totient is φ = 144990720.

The previous prime is 465523763. The next prime is 465523777. The reversal of 465523776 is 677325564.

The square root of 465523776 is 21576.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 244109376 + 221414400 = 15624^2 + 14880^2 .

It is not an unprimeable number, because it can be changed into a prime (465523777) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15016881 + ... + 15016911.

Almost surely, 2^465523776 is an apocalyptic number.

465523776 is the 21576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465523776

465523776 is an abundant number, since it is smaller than the sum of its proper divisors (962431077).

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

465523776 is a wasteful number, since it uses less digits than its factorization.

465523776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 65 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The cubic root of 465523776 is about 775.0218660497.

The spelling of 465523776 in words is "four hundred sixty-five million, five hundred twenty-three thousand, seven hundred seventy-six".