406722288365449 has 27 divisors (see below), whose sum is σ = 479203812416007. Its totient is φ = 344196765935568.

The previous prime is 406722288365447. The next prime is 406722288365473. The reversal of 406722288365449 is 944563882227604.

The square root of 406722288365449 is 20167357.

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., 139146630457849 + 267575657907600 = 11796043^2 + 16357740^2 .

It is not a de Polignac number, because 406722288365449 - 2¹ = 406722288365447 is a prime.

It is not an unprimeable number, because it can be changed into a prime (406722288365447) 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, 11152530187 + ... + 11152566655.

It is an arithmetic number, because the mean of its divisors is an integer number (17748289348741).

Almost surely, 2^{406722288365449} is an apocalyptic number.

406722288365449 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

406722288365449 is the 20167357-th square number.

406722288365449 is the 10083679-th centered octagonal number.

It is an amenable number.

406722288365449 is a deficient number, since it is larger than the sum of its proper divisors (72481524050558).

406722288365449 is an frugal number, since it uses more digits than its factorization.

406722288365449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73110 (or 36555 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 70.

The spelling of 406722288365449 in words is "four hundred six trillion, seven hundred twenty-two billion, two hundred eighty-eight million, three hundred sixty-five thousand, four hundred forty-nine".