479040769 has 9 divisors (see below), whose sum is σ = 491405763. Its totient is φ = 466981032.

The previous prime is 479040719. The next prime is 479040781. The reversal of 479040769 is 967040974.

The square root of 479040769 is 21887.

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., 389549169 + 89491600 = 19737^2 + 9460^2 .

It is not a de Polignac number, because 479040769 - 2⁷ = 479040641 is a prime.

It is a super-2 number, since 2×479040769² = 458960116728222722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (479040719) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 940887 + ... + 941395.

Almost surely, 2^479040769 is an apocalyptic number.

479040769 is the 21887-th square number.

479040769 is the 10944-th centered octagonal number.

It is an amenable number.

479040769 is a deficient number, since it is larger than the sum of its proper divisors (12364994).

479040769 is an frugal number, since it uses more digits than its factorization.

479040769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The cubic root of 479040769 is about 782.4516161940.

The spelling of 479040769 in words is "four hundred seventy-nine million, forty thousand, seven hundred sixty-nine".