406405773 has 24 divisors (see below), whose sum is σ = 595890360. Its totient is φ = 266872320.

The previous prime is 406405759. The next prime is 406405787. The reversal of 406405773 is 377504604.

406405773 is a `hidden beast` number, since 4 + 0 + 640 + 5 + 7 + 7 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (406405759) and next prime (406405787).

It can be written as a sum of positive squares in 4 ways, for example, as 101124 + 406304649 = 318^2 + 20157^2 .

It is not a de Polignac number, because 406405773 - 2⁹ = 406405261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406405793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249903 + ... + 251523.

It is an arithmetic number, because the mean of its divisors is an integer number (24828765).

Almost surely, 2^406405773 is an apocalyptic number.

It is an amenable number.

406405773 is a deficient number, since it is larger than the sum of its proper divisors (189484587).

406405773 is a wasteful number, since it uses less digits than its factorization.

406405773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 406405773 is about 20159.5082529312. The cubic root of 406405773 is about 740.7186669335.

The spelling of 406405773 in words is "four hundred six million, four hundred five thousand, seven hundred seventy-three".