470065761 has 63 divisors (see below), whose sum is σ = 785428707. Its totient is φ = 280985760.

The previous prime is 470065751. The next prime is 470065787. The reversal of 470065761 is 167560074.

The square root of 470065761 is 21681.

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., 266832225 + 203233536 = 16335^2 + 14256^2 .

It is not a de Polignac number, because 470065761 - 2¹³ = 470057569 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (470065751) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 6439221 + ... + 6439293.

Almost surely, 2^470065761 is an apocalyptic number.

470065761 is the 21681-st square number.

470065761 is the 10841-st centered octagonal number.

It is an amenable number.

470065761 is a deficient number, since it is larger than the sum of its proper divisors (315362946).

470065761 is an frugal number, since it uses more digits than its factorization.

470065761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The cubic root of 470065761 is about 777.5342697784.

Multiplying 470065761 by its sum of digits (36), we get a square (16922367396 = 130086²).

The spelling of 470065761 in words is "four hundred seventy million, sixty-five thousand, seven hundred sixty-one".