470537005849 has 27 divisors (see below), whose sum is σ = 504074257407. Its totient is φ = 439166134368.

The previous prime is 470537005823. The next prime is 470537005853. The reversal of 470537005849 is 948500735074.

The square root of 470537005849 is 685957.

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., 406948305625 + 63588700224 = 637925^2 + 252168^2 .

It is not a de Polignac number, because 470537005849 - 2⁷ = 470537005721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 470537005796 and 470537005805.

It is not an unprimeable number, because it can be changed into a prime (470537005649) 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, 1029621229 + ... + 1029621685.

It is an arithmetic number, because the mean of its divisors is an integer number (18669416941).

Almost surely, 2^470537005849 is an apocalyptic number.

470537005849 is the 685957-th square number.

470537005849 is the 342979-th centered octagonal number.

It is an amenable number.

470537005849 is a deficient number, since it is larger than the sum of its proper divisors (33537251558).

470537005849 is an frugal number, since it uses more digits than its factorization.

470537005849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 470537005849 in words is "four hundred seventy billion, five hundred thirty-seven million, five thousand, eight hundred forty-nine".